two angles are complementary. The measurement of one angle is 5 less than four times the measure of the other angle. Find the number of degrees in the measure larger of the two complementary angles

 71 degrees

Explanation:

Complimentary means that a pair of angles add up to 90 degrees.  

Let's call the first angle A and the second angle B.  

Then,

A + B = 90           and

A = 4B - 5            (5 less than 4 times the angle)

Now we can solve for A and B:

A + B = 90

-(A = 4B - 5)

So

A + B = 90

-A      = -4B + 5

B = -4B + 95

B + 4B = 95

5B = 95

B = 19

Now we can plug in B to solve for A.

A + B = 90

A + (19) = 90

A = 90 - 19

A = 71

The question asks for the number of degrees in the larger of the two angles, which is 71 degrees.