Question

an angle measures 10* less than the measure of its complementary angle. find the measure of both angles

Answer 1

Original Angle = 40 degrees, Complementary Angle = 50 degrees.

Explanation:

1. Set the complementary angle as Angle A and the original angle as Angle B.

2. Due to complementary relationships:

A + B = 90

3. Due to given information:

A - 10 = B

4. Substitute:

A + (A - 10) = 90

5. Simplify, Solve

2A - 10 = 90

2A = 100

A = 50 degrees (This is the complementary angle)

B = 90 - A = 40 degrees