Give the measures of the complement and the supplement of an angle measuring 35° .

Key Concepts

Complementary Angles

Complementary angles are two angles whose measures add up to 90 degrees. For any given angle, its complement can be found by subtracting the angle from 90 degrees. In this case, the complement of a 35° angle is calculated as 90° - 35° = 55°.

Supplementary Angles

Supplementary angles are two angles whose measures sum to 180 degrees. To find the supplement of a given angle, you subtract the angle from 180 degrees. For a 35° angle, the supplement is determined by 180° - 35° = 145°.

Angle Measurement

Angle measurement is a way to quantify the size of an angle in degrees. The full rotation around a point is 360 degrees, with specific relationships defining complementary and supplementary angles. Understanding these relationships is essential for solving problems involving angle measures.