Practice Angle Relationships in Math
Use these practice problems to test your method after reviewing the concept explanation and worked examples.
Quick Recap
Fundamental relationships between pairs of angles: supplementary angles sum to 180°, complementary angles sum to 90°, vertical angles are equal, and adjacent angles share a common ray.
Think of opening a book flat on a table—the two pages form supplementary angles (they add to a straight line, 180°). Now think of the corner of a room where two walls meet the floor—those two angles are complementary (they add to a right angle, 90°). When two lines cross like an X, the opposite angles are always equal—those are vertical angles.
Example 1
easyTwo angles are supplementary. One angle measures 73°. Find the other angle.
Example 2
mediumTwo lines intersect forming four angles. One angle is 124°. Find all four angles.
Example 3
easyAngle A and angle B are complementary. If \angle A = 4x + 3° and \angle B = 2x + 9°, find both angles.
Example 4
hardThree angles share a common vertex and together form a straight line. The angles are in the ratio 1:2:3. Find each angle.