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

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 = xSecond 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 = 180x + (2x - 9) = 180x + 2x - 9 = 1803x = 180 + 93x = 189x = 63The First angle is 63 °2. Now, let's find the measure of the Second angle = 2x - 9Replacing x, we have: 2 (63) - 9 = 126 - 9 = 117 °The Second angle is 117 °117 ° +  63 ° = 180°