Question

An angle measures 18 more than the angle of its complementary what is the measure of each angle

Answer 1

Answer:

Step-by-step explanation:

complementary angles, when added, equal 90 degrees

so if 1 angle is x, then the other angle, its complement,  is 90 - x.

x - 18 = 90 - x

x + x = 90 + 18

2x = 108

x = 108/2

x = 54

90 - x = 90 - 54 = 36

so one angle is 54 and its compliment is 36

Answer 2

Answer:

71

Step-by-step explanation:

Complementary angles have measures that add to 90°.

ABC and CBD are complementary angles.

Since the angles are complementary, their measures must add to 90°. Set up an equation and solve for n.

n +  18° =  90°

n +  18° −  18° =  90°  −  18°

n =  72°

The measure of the complementary angle is 72°.