Question

ZA and ZB are supplementary angles. If m_A
ZB = (5x – 7)", then find the measure of ZA.
(5x + 27)° and m

Answer 1

Answer:

∠A = 107

∠B = 73

Step-by-step explanation:

∠A ,  ∠B are supplementary. So, ∠A + ∠B = 180

5x + 27 + 5x - 7 = 180

5x + 5x  + 27 - 7 = 180       {Combine like terms}

             10x + 20=180

                    10x = 180 -20

                   10x = 160

                      x = 160/10

x = 16

∠A = 5x + 27 = 5*16 + 27 = 80 + 27 = 107

∠B = 5x - 7 = 5*16 - 7 = 80 - 7 = 73