Two angles are complementary. Find the measures of both angles if the first angle is 15 degrees smaller than four times the second angle

Question

It is so hard to find help with these problems! Please help me solve this!

Answer 1

Hi Rose, complementary angles are two angles that add up to 90 degrees. Let x represent the second angle. Then the first angle is 4x - 15.

 

Equation:

 

x + (4x - 15) = 90

 

5x - 15 = 90

 

5x= 105

 

x = 21

 

One angle is 21 degrees, and the second angle is 69 degrees.

 

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