Angles Math Example 4

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Example 4

medium
An exterior angle of a triangle measures 124°124°. One remote interior angle measures 47°47°. Find the other remote interior angle.

Solution

  1. 1
    Use the exterior-angle theorem: an exterior angle equals the sum of the two remote interior angles.
  2. 2
    Let the unknown remote interior angle be xx. Then 47+x=12447 + x = 124.
  3. 3
    Solve: x=77°x = 77°.

Answer

x=77°x = 77°
The exterior-angle theorem relates an outside angle of a triangle to the two nonadjacent interior angles. It avoids needing to find the adjacent interior angle first.

About Angles

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

Learn more about Angles →

More Angles Examples

Example 1 easy

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

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.

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