Question

ZP bisects ∠OZQ so that ∠OZP = 8x – 9 and ∠PZQ = 5x + 18. Find the value of x, and the measure of each angle. You must show all work in order to receive credit!

Answer 1

x = 9 Since ZP bisects â OZQ, that means that the measurements for â OZP and â PZQ are the same. So create an equation with their respective values set to each other. 8x - 9 = 5x + 18 Now solve for x 8x - 9 = 5x + 18 Subtract 5x from both sides 3x - 9 = 18 Add 9 to both sides 3x = 27 Divide both sides by 3 x = 9