MATHEMATICS (Geometry) COMPUTATION Two angles are supplementary. One angle is 4 times the measure of the other angle. What is the measure of the larger angle?

Question

asked Jan 28, 2024 210k views

1 Answer

Axiome · Answer 1 · 2024-02-01T16:47:07+0000

Answer:

measure of larger angle = 144°

Explanation:

2 supplementary angles have a sum of 180°

let one angle be x then the other angle is 4x ( 4 times the other angle )

sum the two angles and equate to 180, solving for x

x + 4x = 180 ( simplify left side )

5x = 180 ( divide both sides by 5 )

x =
(180)/(5) = 36

the larger angle = 4x = 4 × 36 = 144°