two angles are supplementary. twice the measure of the first angle minus 9 is equal to the measure of the second angle. find the measures of both angles

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°