4 times the measure of the complement of an angle is equal to 2/3 the measure of the original angles supplement. what is the mea

Question

siniylev [52]

3 years ago

12

4 times the measure of the complement of an angle is equal to 2/3 the measure of the original angles supplement. what is the mea

sure of the angle?

Mathematics

1 answer:

Irina-Kira [14] · Answer 1 · 2022-01-27T13:52:37+03:00

Irina-Kira [14]3 years ago

4 0

Let angle be x
4 times complement = 4(90 - x)
2/3 times its supplement = 2/3(180 - x)

4(90 - x) = 2/3 (180 - x)
360 - 4x = 120 - 2/3 x
240 = 3 1/3 x
x = 240 / 10/3 = 240 * 3/10 = 72 degrees Answer