Question

an angle measures "126" degrees less than the measure of a supplementary angle what is the measure of each angle

Answer 1

Supplementary angles are angles which add up to 180 degrees. In this case it means that one angle is 126 degrees and the other is 54 degrees.

Answer 2

Answer:

The measure of the two angles are 27° and 153° respectively

Step-by-step explanation:

Given parameters

Let the first angle be represented by x°

And the second angle which is supplementary to the first be represented by y°

From the question, we have that y measures 126° less than x.

So, y = x - 126°

Two angles are said to be supplementary if the both add up to 180.

In this case, it means that x and y are supplementary if and only if x and y add up to 180.

x + y = 180

Substitute x - 126 for y

x + x - 126 = 180

2x - 126 = 180 --- collect like terms

2x = 180 + 126

2x = 306 ----- multiply both sides by ½

2x * ½ = 306 * ½

x = 153°

Recall that y = x - 126°

Substituton 153 for x

y = 153 - 126

y = 27°

Hence, the measure of the two angles are 27° and 153° respectively