Question

An angle measures 72 degrees more than the measure of its complementary angle what is the measure of each angle

Answer 1

Good evening

Answer:

measure of Angle 1 = 81°

Measure of angle 2 = 9°

Step-by-step explanation:

we need to solve this system

x + y = 90 (1)

x = y + 72 (2)

If we substitute x by y+72 into the equation (1) we will get

(y+72) + y = 90 ⇔ 2y + 72 = 90 ⇔ 2y = 90 - 72 = 18 ⇔ y = 9

then x = 90 - 9 = 81

:)