An angle measures 64° less than the measure of a complementary angle. What is the measure of each angle?

Given:

Two complementary angles,

for an instance, a is the first angle and b is the second angle

a = b - 64

Solution:

If we add the complementary angles together, the result will be 90°. In algebraic expression, we could write it as:

a + b = 90°

Substitute b - 64 in a to solve the measurement of a

a + b = 90

(b - 64) + b = 90

2b - 64 = 90

2b = 90 + 64

2b = 154

b = 77

Find the measurement of a, by substitution the value of b, that is 77

a = b - 64

a = 77 - 64

a = 13

The measure of angles

a = 77°

b = 13°