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

The answer is D, 135.

Explanation:

3x + x = 180

4x = 180

x = 45

Angle y = 45

Multiply 45 * 3 = 135

<x = 135

Answer 2

Supplementary means that the angles add to 180. Thus, x + y = 180. But, we also have that x = 3y (stated in the question). Thus, we can substitute and say that 3y + y = 180 -> 4y = 180 -> y = 45. To find x, we substitute y into one of the two previous equations; I will use x = 3y. x = 3(45) -> x = 135.