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Ludmilka [50]
3 years ago
9

∠A and \angle ∠B are supplementary angles. If m\angle A=(3x-23)^{\circ}∠A=(3x−23)

Biology
1 answer:
Nikitich [7]3 years ago
5 0

Answer:

B = 74

Explanation:

Given

A=(3x-23)

B=(2x-12)

Required

Find B

Since A and B are supplementary, then:

A + B = 180

Substitute values for A and B

3x - 23 + 2x - 12 = 180

Collect Like Terms

3x + 2x = 180 + 23 + 12

5x = 215

Divide through by 5

\frac{5x = 215}{5}

x = 43

Substitute 43 for x in B=(2x-12)

B = 2*43 - 12

B = 74

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