Question

The measure of an angle is 60.2°. What is the measure of its complementary angle?

Answer 1

59.9° AND 120.1°

Explanation:

Call the measure of one angle n. The other angle, which is 60.2° bigger, measures n + 60.2°.

Since the angles are supplementary, their measures must add to 180°. Set up an equation and solve for n.

n + n + 60.2° = 180°

2n + 60.2° = 180°

2n+ 60.2° − 60.2° = 180°− 60.2°

2n= 119.8°

2n÷ 2 = 119.8°÷ 2

n= 59.9°

The first angle measures 59.9°. Now plug in n = 59.9° to find the measure of the other angle, n + 60.2°.

n+ 60.2° = 59.9° + 60.2°

= 120.1°

So, the two angles measure 59.9° and 120.1°.

Answer 2

29.8° is the measure its complementary angle.

Explanation:

Complementary angle = 90°

60.2° + x = 90°

x = 90° - 60.2°

x = 29.8°