Question

The measure of an angle is eight times the measure of its complementary angle. What is the measure of each angle?

Answer 1

Answer:

$angles \: are \: 80 \: and \: 10$

Step-by-step explanation:

$x = 8(90 - x) \\ x = 720 - 8x \\ x + 8x = 720 \\ 9x = 720 \\ x = \frac{720}{9} \\ \\ x = 80 \\ \\ 90 - x = 90 - 80 = 10 \\ \\ \\ then \: \: \: angles \: are \: 80 \: and \: 10$