Answer: 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.
