Answer:
27° and 153°
Step-by-step explanation:
Let "x" represent the angle.
We know that <u>supplementary angles</u> must add up to 180 degrees.
First, let's set up an expression for the supplement of the angle "x":
x+126
Now, let's use this information to set up an equation:
![x+x+126=180](https://tex.z-dn.net/?f=x%2Bx%2B126%3D180)
Combine like terms:
![2x+126=180](https://tex.z-dn.net/?f=2x%2B126%3D180)
Subtract 126 from both sides:
![2x=54](https://tex.z-dn.net/?f=2x%3D54)
Divide both sides by 2
![x=27](https://tex.z-dn.net/?f=x%3D27)
The supplement would be:
![x+126=27+126=153](https://tex.z-dn.net/?f=x%2B126%3D27%2B126%3D153)
Therefore the measures of the two angles are:
27° and 153°