Answer:
The First angle is 63 ° and The Second angle is 117 °.
Step-by-step explanation:
1. Let's remember that supplementary angles are two angles whose measures add up to 180°.
First angle = x
Second angle = 2x - 9 (Twice the measure of the first angle minus 9 is equal to the measure of the second angle)
First angle + Second angle = 180
x + (2x - 9) = 180
x + 2x - 9 = 180
3x = 180 + 9
3x = 189
x = 63
The First angle is 63 °
2. Now, let's find the measure of the Second angle = 2x - 9
Replacing x, we have: 2 (63) - 9 = 126 - 9 = 117 °
The Second angle is 117 °
117 ° + 63 ° = 180°
