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