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17-09-2020
Mathematics

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∠A and \angle B∠B are supplementary angles. If m\angle A=(x-16)^{\circ}∠A=(x−16) ∘ and m\angle B=(3x+28)^{\circ}∠B=(3x+28) ∘ , then find the measure of \angle A∠A.

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sqdancefan sqdancefan

17-09-2020

Answer:

∠A = 26°

Step-by-step explanation:

Supplementary angles total 180°.

∠A +∠B = 180°

(x -16)° +(3x +28)° = 180°

4x° + 12° = 180°

x° +3° = 45°

x° = 42°

∠A = (x -16)° = 42° -16°

∠A = 26°

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