Question

The angle measurements in the diagram are represented

by the following expressions.
ZA= 63 - 189
ZB = 142 + 38°
Solve for x and then find the measure of ZA:

Answer 1

∠A = 30°

Explanation:

∠A + ∠B = 180

where ∠A = 6x - 18

∠B = 14x + 38

first step is to solve for x:

6x - 18 + 14x + 38 = 180

6x + 14x = 180 + 18 - 38

20x = 160

x = 160 / 20

x = 8

now substitute x=8 into angle A

∠A = 6x - 18

∠A = 6(8) - 18

∠A = 30°