Question

Angles X and Y are supplementary. Angle X is 3 times the measure of angle Y. What is the measure of angle X?

Answer 1

supplementary angles sum = 180
lets x  = measure of angle Y

x + 3x = 180
4x = 180
x = 45

angle Y = 45
angle X = 3 x 45 = 135

answer
Angle X = 135

Answer 2

Answer:

The measure of ∠X is 135°

Step-by-step explanation:

Given that angles X and Y are supplementary and also angle X is 3 times the measure of angle Y.

we have to find the measure of angle X.

Since X and Y are the supplementary therefore these add up to 180° i.e

$\angle X+\angle Y=180\°......(1)$

Also angle X is 3 times the measure of angle Y i.e

$\angle X=3\angle Y$

Substitute this value in equation (1), we get

$3\angle Y+\angle Y=180\°......(1)$

$4\angle Y= 180\°$

$\angle Y=\frac{180\°}{4}=45\°$

$\angle X=3\times 45\°=135\°$

Hence, the measure of ∠X is 135°