Answer:
The measure of the supplementary angles are 31° and 149°.
Step-by-step explanation:
Supplementary angles are angles that add up to a total of 180°. Since there are two angles, one of which is 6 less than 5 times the small angle, we can set up an expression using these terms: 5 times = 5x; 6 less than = - 6, so the larger angle is: 5x - 6, where x is the measure of the smaller angle. The measure of both angles will add up to 180°, so:
(5x - 6) + x = 180
Combine like terms: 6x - 6 = 180
Inverse operations: 6x = 186, or x = 31
31° is the measure of the smaller angle, so (5)(31) - 6 = 149° is the measure of the larger angle.
Check: 31 + 149 = 180
