Angles Math Example 1

Follow the full solution, then compare it with the other examples linked below.

Example 1

easy
Two angles are supplementary. One measures 115°115°. Find the other.

Solution

  1. 1
    Supplementary angles add up to 180°180°.
  2. 2
    Let the unknown angle be xx: 115+x=180115 + x = 180.
  3. 3
    Solve: x=180−115=65°x = 180 - 115 = 65°.

Answer

x=65°x = 65°
Supplementary angles form a straight line (180°180°). This relationship appears frequently when working with parallel lines and transversals.

About Angles

The amount of rotation between two rays that share a common endpoint, measured in degrees or radians.

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More Angles Examples

Example 2 medium

Two parallel lines are cut by a transversal. One of the alternate interior angles measures [formula]

Example 3 easy

Two angles are complementary. One measures [formula]. Find the other.

Example 4 medium

An exterior angle of a triangle measures [formula]. One remote interior angle measures [formula]. Fi

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