Angle Relationships Math Example 1

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

Example 1

easy
Two angles are supplementary. One angle measures 73°73°. Find the other angle.

Solution

  1. 1
    Step 1: Supplementary angles sum to 180°180°.
  2. 2
    Step 2: Let the other angle be xx. Then 73°+x=180°73° + x = 180°.
  3. 3
    Step 3: x=180°−73°=107°x = 180° - 73° = 107°.

Answer

The other angle is 107°107°.
Supplementary angles are two angles whose measures add to 180°. They don't need to be adjacent — any two angles summing to 180° are supplementary. A straight line is formed when supplementary angles are adjacent, which is one common way they appear in geometry problems.

About Angle Relationships

Fundamental relationships between pairs of angles: supplementary angles sum to 180°180°, complementary angles sum to 90°90°, vertical angles are equal, and adjacent angles share a common ray.

Learn more about Angle Relationships →

More Angle Relationships Examples

Example 2 medium

Two lines intersect forming four angles. One angle is [formula]. Find all four angles.

Example 3 easy

Angle [formula] and angle [formula] are complementary. If [formula] and [formula], find both angles.

Example 4 hard

Three angles share a common vertex and together form a straight line. The angles are in the ratio [f

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