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how to find the degree of an angle

How to Find the Measure out of an Angle in a Triangle: 3 Methods

how to find the measure of an angle: Chalk drawn triangle with a triangle ruler and chalks over a blue board

If you lot want to know how to find the measure of an angle within a triangle, the most obvious style is to utilize a protractor. But if you don't have one on hand, hither are 3 ways to find the measure of an angle within a triangle.

How to Notice the Measure of an Angle

The sum of the angles of a triangle ever add together up to 180 degrees. So when you subtract the given angles of a triangle from 180, you'll find the unknown angles. Run into the triangle below. The known angles are 77 and 35. To find the unknown bending, we must add these up and decrease them from 180:

how to find the measure of an angle: Illustration of a triangle with an unknown angle

77 + 35 = 112

180 - 112 = 68

Using Exterior Angles to Discover Unknown Measurements

Supplementary angles are two angles that add upward to 180 degrees. When yous put these two angles together, they make a straight angle:

how to find the measure of an angle: Illustration of a triangle with a straight angle

The rule of supplementary angles can be used to find unknown angle measurements. See the obtuse triangle below where a mensurate of an angle outside of the triangle is 148 degrees. Since the line that this outside bending lies on is straight, the measure of the angle 148 and the unknown bending must add up to 180:

Obtuse triangle with an unknown interior angle

Let's decrease this exterior angle from 180 to determine the unknown interior angle:

180 - 148 = 32

Finding the Unknown Angle of a Right Triangle

If you are dealing with a right triangle, finding the missing angle simply requires yous to follow the rules of complementary angles. Since one of the angles in a right triangle is ninety (and the angles of a triangle must add upwards to 180 degrees) the other ii angles of the triangle must be acute angles (less than 90 degrees each) that add to 90 degrees.

Right triangle with an unknown third angle

In the above triangle ABC, angle a is a right angle, angle b is 30 degrees, and angle c is unknown. You can find the third angle c by subtracting 30 from 90:

90 - 30 = sixty

Deciding How to Find the Measure of an Angle

Determining the measure out of an angle within a triangle is uncomplicated when you lot accept the right methods. Once you know how to notice an unknown angle using supplementary angles, complementary angles, and right angles, you'll have mastered the art of unknown angles. Now yous'll know how to determine unknown angles on your trigonometry tests without a estimator or protractor!

More Math Homework Help

  • How Yous Use the Triangular Proportionality Theorem Every Day
  • How to Find the Third Side of a Triangle in 3 Ways
  • Sine Role, Cosine Function, and Tangent Role Explained

Source: https://tutorme.com/blog/post/how-to-find-the-measure-of-an-angle/

Posted by: teskefrousess.blogspot.com

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