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∠A and \angle B∠B are supplementary angles. If m\angle A=(7x-15)^{\circ}∠A=(7x−15)
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and m\angle B=(2x-3)^{\circ}∠B=(2x−3)
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, then find the measure of \angle A∠A.

Respuesta :

Answer:

m ∠ A = 139° ; m ∠ B = 41°

Step-by-step explanation:

Supplementary angles sum = 180°

m ∠A + m ∠ B = 180°

 (7x - 15) + (2x - 3) = 180°

9x - 18 = 180°

9x = 180 + 18

9x = 198°

x = 22

m ∠A  = 7x - 15 = (7·22) - 15 = 154 - 15 = 139°

m ∠ B = 2x - 3 = (2·22) - 3 = 44 - 3 = 41°

Check:  m ∠ A + m ∠ B = 180°

                 139° + 41° = 180