Two angles are supplementary angles if the sum of their measures is 180°. find two supplementary angles such that the measure of the first angle is 34 ° less than three times the measure of the second.

Let the measure of the second angle be x.

The first angle has measure 3x - 34.

The sum of the measures is 180.

x + 3x - 34 = 180

4x - 34 = 180

4x = 214

x = 53.5

The second angle has measure 53.5 deg.

3x - 34 = 3 * 53.5 - 34 = 160.5 - 34 = 126.5

The measure of the first angle is 126.5 deg.

Answer: The measures are 126.5 deg and 53.5 deg.