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