Question

ZA and ZB are supplementary angles. If m_A= (5x + 25)° and m

ZB = (3x + 19)°, then find the measure of ZB.

Answer 1

B = 70

Explanation:

Supplementary angles add to 180

5x+25 + 3x+19 = 180

Combine like terms

8x+ 44 =180

Subtract 44 from each side

8x+44-44 =180-44

8x= 136

Divide by 8

8x/8 = 136/8

x = 17

We want to find B

B = 3x+19 = 3(17)+19 = 51+19 = 70