Question

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Answer 1

Answer:

Measure of ∠B = 51°.

Step-by-step explanation:

The sum of the measures of any triangle will always add up to 180°.  Also the sum of two supplementary angles, or angles that are side by side on a straight line, will also add up to 180°.  In order to find the measure of ∠B, you need to first find the measure of ∠C.  ∠C is supplementary to the angle of 113°, so we can find ∠C: 180 - 113 = 57°.  Now that we know ∠A and ∠C, we can solve for ∠B:  180 = 72 + 57 + ∠B or 180 = 129 + ∠B, subtracting 129 from both sides, we get ∠B = 51°.