Let's call the angle x.
The complement of x is 90-x.
The supplement of x is 180-x.
According to the problem,
90-x = (1/8)*(180-x)
Multiplying both sides by 8 gives:
720-8x = 180-x
Simplifying:
7x = 540
x = 77.14
So the supplement of x is 180-x = 102.86, which is answer choice A.
The complement of an angle is one-eight the measure of the supplement of the angle. What is the measure of the supplement angle to the nearest hundredth of a degree?
Responses
A 102.86°102.86°
B 101.14°101.14°
C 105.17°105.17°
D 99.13°99.13°
E 103.05°103.05°
1 answer