4 times the measure of the complement of an angle is equal to 2/3he measure of the original angle's supplement. what is the meas

Question

Anna [14]

3 years ago

8

4 times the measure of the complement of an angle is equal to 2/3he measure of the original angle's supplement. what is the meas

ure of the angle?

Mathematics

1 answer:

Andrej [43] · Answer 1 · 2022-03-17T01:51:37+03:00

Andrej [43]3 years ago

3 0

Let x be the angle
Complement of x is (90 degrees-x)
Supplement of x is (180 degrees-x)

4•(90-x)= 2/3(180-x)
3•4(90-x)=2(180-x)
1080-12x=360-2x
1080-360=12x-2x
720=10x
720/10= x
So x = 72 degrees