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svet-max [94.6K]
3 years ago
10

∠A and \angle B∠B are supplementary angles. If m\angle A=(2x-14)^{\circ}∠A=(2x−14)

Mathematics
1 answer:
nevsk [136]3 years ago
8 0

Answer:

∠ A = 66°

Step-by-step explanation:

Supplementary angles sum to 180° thus

∠ A + ∠ B = 180 , substitute values

2x - 14 + 3x - 6 = 180 , that is

5x - 20 = 180 ( add 20 to both sides )

5x = 200 ( divide both sides by 5 )

x = 40

Thus

∠ A = 2x - 14 = 2(40) - 14 = 80 - 14 = 66°

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