The measure of one angle is 5 degrees less then one fourth the measure of its complement. Find the measures of the two angles

Question

The measure of one angle is 5 degrees less then one fourth the measure of its complement. Find the measures of the two angles

Answer 1

angle is X

 

X = -5 + 1/4(90-x)

 

X = -5 + 45/2 - 1/4X

 

5/4X = -10/2 + 45/2

 

5/4X = 35/2

 

X = 35/2 * 4/5 = 14

 

The angle is 14 degrees.

The complement is 76 degrees

 

CHECK:

1/4*76 - 5 = 19 - 5 = 14