Two angles are supplementary. The measure of the first angle is 10 degrees more than three times the second angle. Find the measure of each angle

137.5° and 42.5°

Step-by-step explanation:

supplementary angles are two angles whose sum is equal to 180°.

Let the second angle be x then it is given that the first angle is 10 degrees more than 3 times second angle that is 3 (x) + 10°.

we know that the sum of first and second angles is 180° (supplementary angles)

so, (3 (x) + 10°) + (x) = 180°

4 (x) = 170°

x = 170°/4 = 42.5°

so, first angle is 3 (42.5°) + 10° = 137.5°, second angle is x that is 42.5°

therefore, the angles are 137.5° and 42.5°.