The sum of the measures of the three angles of any triangle is 180°. In the illustration, the measure of 2 (angle 2) is 7° larger than the measure of 1. The measure of 3 is 31° larger than the measure of 2. Find each angle measure.

4 answers

angle 1 = x
angle 2 = x + 7
angle 3 = x + 7 + 31

x + x + 7 + x + 7 + 31 = 180
Solve for x, measure of angle 1.
Then,
angle 2 = x + 7
angle 3 = x + 7 + 31
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