{"id":825214,"date":"2024-05-06T18:15:09","date_gmt":"2024-05-06T12:45:09","guid":{"rendered":"https:\/\/leverageedu.com\/discover\/?p=825214"},"modified":"2024-05-06T18:15:09","modified_gmt":"2024-05-06T12:45:09","slug":"basic-concept-types-of-angles","status":"publish","type":"post","link":"https:\/\/leverageedu.com\/discover\/school-education\/basic-concept-types-of-angles\/","title":{"rendered":"Different Types of Angles with Formulas and Examples\u00a0"},"content":{"rendered":"\n

If you ever get a chance to look around you there are so many Types of Angles that you might notice. Moreover, from a closed door to a sharpened pencil to our Earth\u2019s axis, they all have Angles. However, differentiating between all of them might seem like a task. But in this blog, you will learn about all the 15 Types of Angles along with their formulas as well as examples to help you differentiate.\u00a0<\/p>\n\n\n\n\n\n\n

Also Read: <\/strong>What is the Difference Between Degrees and Radians?<\/strong><\/p>\n\n\n\n

Acute Angle<\/h2>\n\n\n\n

An Acute angle is an angle that measures less than 90 degrees.<\/p>\n\n\n\n

The Formula for an Acute angle is: Acute Angle = x\u00b0, where 0\u00b0 < x < 90\u00b0<\/p>\n\n\n\n

Example: An angle of 45 degrees is an Acute angle or the corner of a sharpened pencil.<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

Right Angle<\/h2>\n\n\n\n

A Right angle is an angle that measures exactly 90 degrees.\u00a0<\/p>\n\n\n\n

The Formula for a Right angle is: Right Angle = 90\u00b0<\/p>\n\n\n\n

Example: The angle formed by the intersection of two perpendicular lines is a Right angle or a closed door.<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

Here the Right Angle is ABC and AGD.\u00a0<\/p>\n\n\n\n

Obtuse Angle<\/h2>\n\n\n\n

An Obtuse angle is an angle that measures more than 90 degrees but less than 180 degrees.<\/p>\n\n\n\n

The Formula for an Obtuse angle is: Obtuse Angle = x\u00b0, where 90\u00b0 < x < 180\u00b0<\/p>\n\n\n\n

Example: An angle of 135 degrees is an Obtuse angle or a leaning tree.\u00a0<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

Straight Angle<\/h2>\n\n\n\n

A Straight angle is an angle that measures exactly 180 degrees.\u00a0<\/p>\n\n\n\n

The Formula for a Straight angle is: Straight Angle = 180\u00b0<\/p>\n\n\n\n

Example: The angle formed by a line segment that extends in a Straight line is a straight angle.\u00a0<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

Reflex Angle<\/h2>\n\n\n\n

A Reflex angle is an angle that measures more than 180 degrees but less than 360 degrees.\u00a0<\/p>\n\n\n\n

The Formula for a Reflex angle is: Reflex Angle = x\u00b0, where 180\u00b0 < x < 360\u00b0<\/p>\n\n\n\n

Example: An angle of 225 degrees is a Reflex angle or the hands of a clock forming a \u201cV\u201d shape.<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

Full Rotation Angle<\/h2>\n\n\n\n

A Full Rotation angle is an angle that measures exactly 360 degrees.\u00a0<\/p>\n\n\n\n

The Formula for a Full Rotation angle is: Full Rotation Angle = 360\u00b0<\/p>\n\n\n\n

Example: The angle formed by a complete revolution around a circle is a Full Rotation angle or the Earth\u2019s rotation on its axis.<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

Positive Angles<\/h2>\n\n\n\n

Positive angles are angles that are measured in a counterclockwise direction from the positive x-axis.\u00a0<\/p>\n\n\n\n

The Formula for a Positive angle is: Positive Angle = x\u00b0, where 0\u00b0 \u2264 x < 360\u00b0<\/p>\n\n\n\n

Example: An angle of 45 degrees measured in a counterclockwise direction from the positive x-axis is a Positive angle. Moreover, any Acute, Obtuse, or Reflex angle.<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

Negative Angles\u00a0<\/h2>\n\n\n\n

Negative angles are angles that are measured in a clockwise direction from the positive x-axis.\u00a0<\/p>\n\n\n\n

The Formula for a Negative angle is: Negative Angle = -x\u00b0, where -360\u00b0 < x \u2264 0\u00b0<\/p>\n\n\n\n

Example: An angle of -45 degrees measured in a clockwise direction from the positive x-axis is a Negative angle.\u00a0<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

Adjacent Angles<\/h2>\n\n\n\n

Adjacent angles are two angles that share a common vertex and a common side. The sum of the measures of Adjacent angles is always 180 degrees.\u00a0<\/p>\n\n\n\n

The Formula for Adjacent angles is: Adjacent Angles = x\u00b0 + y\u00b0, where x\u00b0 + y\u00b0 = 180\u00b0<\/p>\n\n\n\n

Example: The two angles formed by the intersection of two perpendicular lines are Adjacent angles.<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

Complementary Angles<\/h2>\n\n\n\n

Complementary angles are two angles whose sum is exactly 90 degrees.\u00a0<\/p>\n\n\n\n

The Formula for Complementary angles is: Complementary Angles = x\u00b0 + y\u00b0, where x\u00b0 + y\u00b0 = 90\u00b0<\/p>\n\n\n\n

Example: An angle of 25 degrees and an angle of 65 degrees are Complementary angles or two Acute angles on a perpendicular line.<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

Supplementary Angles<\/h2>\n\n\n\n

Supplementary angles are two angles whose sum is exactly 180 degrees.\u00a0<\/p>\n\n\n\n

The Formula for Supplementary angles is: Supplementary Angles = x\u00b0 + y\u00b0, where x\u00b0 + y\u00b0 = 180\u00b0<\/p>\n\n\n\n

Example: An angle of 120 degrees and an angle of 60 degrees are Supplementary angles or two Straight angles next to each other.<\/p>\n\n\n\n

Alternate Interior Angles<\/h2>\n\n\n\n

Alternate Interior angles are two angles that are on opposite sides of a transversal line and are on the interior of the two parallel lines.\u00a0<\/p>\n\n\n\n

The Formula for Alternate Interior angles is: Alternate Interior Angles = x\u00b0, where x\u00b0 = y\u00b0<\/p>\n\n\n\n

Example: The angles formed by a transversal line intersecting two parallel lines are Alternate Interior angles.<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

Alternate Exterior Angles<\/h2>\n\n\n\n

Alternate Exterior angles are two angles that are on opposite sides of a transversal line and are on the exterior of the two parallel lines.\u00a0<\/p>\n\n\n\n

The Formula for Alternate Exterior angles is: Alternate Exterior Angles = x\u00b0, where x\u00b0 = y\u00b0<\/p>\n\n\n\n

Example: The angles formed by a transversal line intersecting two parallel lines, but on the exterior of the parallel lines, are Alternate Exterior angles.<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

Here AGE and DOF are Alternate exterior angles.<\/p>\n\n\n\n

Corresponding Angles<\/h2>\n\n\n\n

Corresponding angles are two angles that are on the same side of a transversal line and are on the same side of the two parallel lines.\u00a0<\/p>\n\n\n\n

The Formula for Corresponding angles is: Corresponding Angles = x\u00b0, where x\u00b0 = y\u00b0<\/p>\n\n\n\n

Example: The angles formed by a transversal line intersecting two parallel lines, where the angles are on the same side of the transversal line, are Corresponding angles.<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

Vertical Angles<\/h2>\n\n\n\n

Vertical angles are two angles that are opposite each other when two lines intersect.\u00a0<\/p>\n\n\n\n

The Formula for Vertical angles is: Vertical Angles = x\u00b0, where x\u00b0 = y\u00b0<\/p>\n\n\n\n

Example: The angles formed by the intersection of two lines are Vertical angles.<\/p>\n\n\n\n

\"\"<\/figure>\n\n\n\n

Maths Problems on Angles with Solutions<\/h2>\n\n\n\n
    \n
  1. An angle measures 120 degrees. What type of angle is it?
    Answer: Obtuse angle (An obtuse angle has a measure greater than 90\u00b0 but less than 180\u00b0).<\/li>\n\n\n\n
  2. Line m intersects line n at point O. If angle 1 measures 45 degrees, what is the measure of its complementary angle?
    Answer: 45 degrees (Since they are complementary, the other angle must also measure 45 degrees to reach 90 degrees).<\/li>\n\n\n\n
  3. Two rays, OA and OB, lie on a straight line. What is the measure of angle AOB?
    Answer: 180 degrees (A straight line creates an angle of 180 degrees).<\/li>\n\n\n\n
  4. The angles in a triangle add up to 180 degrees. If one angle in a triangle measures 60 degrees and another measures 70 degrees, what type of angle is the third angle?
    Answer: Acute angle (The third angle must be less than 50 degrees (180 \u2013 60 \u2013 70) to fit within the triangle).<\/li>\n\n\n\n
  5. At what time on an analog clock do the hour and minute hands form a right angle (90 degrees)?
    Answer: 3:00 (The hour hand moves 360 degrees in 12 hours, so it moves 30 degrees every hour.)<\/li>\n<\/ol>\n\n\n\n

    Related Blogs\u00a0<\/strong><\/p>\n\n\n\n

    7 Types of Fractions with Examples<\/strong><\/a><\/td>What are Co Prime Numbers?<\/strong><\/a><\/td><\/tr>
    How to Find Percentage of Marks?<\/strong><\/a><\/td>Multiplication Tables of 1 to 20<\/strong><\/a><\/td><\/tr>
    Ordinal Numbers from 1 to 100!<\/strong><\/a>\u00a0<\/strong><\/td>Table of 17: Multiples up to 20 & a Trick!<\/strong><\/a>\u00a0\u00a0<\/td><\/tr>
    Table of 12: Multiples up to 20!<\/strong><\/a><\/td>What is the HCF of Two Consecutive Odd Numbers?<\/strong><\/a><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

    I hope this helps! Did you like learning about Types of Angles? Keep reading our blogs to learn more about the basic concepts of Maths<\/strong><\/a>!<\/p>\n","protected":false},"excerpt":{"rendered":"If you ever get a chance to look around you there are so many Types of Angles that…\n","protected":false},"author":106,"featured_media":825325,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_acf_changed":false,"editor_notices":[],"footnotes":""},"categories":[423,476,389],"tags":[],"class_list":{"0":"post-825214","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-basic-concepts","8":"category-maths","9":"category-school-education"},"yoast_head":"\nDifferent Types of Angles with Formulas and Examples\u00a0 - Leverage Edu Discover<\/title>\n<meta name=\"description\" content=\"Did you know there are 15 different types of angles. 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