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

Question

Needs to have two answers. hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answer 1

If two angles are complementary, then their measures add up to 90 degrees.

 

Since the measure of each angle is unknown, we can:

 

let the complementary angle = x

 

Then the other angle is 8x

 

We know that

 

x + 8x = 90

 

You should be able to solve this equation for x and determine the measure of each angle.