Question

What is the measure of angle B in the triangle?

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m∠B=
°

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Answer 1

m∠B = 22°

Explanation:

The sum of angles in a triangle is 180°, so we have ...

120° +(x +16)° +x° = 180°

136 +2x = 180 . . . . . . . . . collect terms, divide by °

68 +x = 90 . . . . . . . . . . . divide by 2

x = 22 . . . . . . . . . . . . . . . subtract 68

The value of x tells us the measure of angle B.

m∠B = 22°