Question

ZA and ZB are supplementary angles. If m_A = (8x – 27) and m

ZB = (4x + 3)°, then find the measure of ZA.
>_

Answer 1

m<ZA = 109

Explanation:

Supplementary angles mean the angles add up to 180 so:

8x - 27 + 4x + 3 = 180

12x - 24 = 180

12x = 180 + 24

12x = 204

x = 17

m<ZA:

8x - 27

8(17) - 27

136 - 27

109