ray 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

Question

Andreas93 [3]

3 years ago

7

ray 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

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Mathematics

1 answer:

Alborosie · Answer 1 · 2022-04-14T22:03:55+03:00

Alborosie3 years ago

4 0

Since ZP is the bisector of ∠ OZQ, then we can say:

∠OZP = ∠PZQ

8x-9 = 5x+18
8x-5x = 18 + 9
3x = 27
x= 27/3 → x = 9

Now plugin the value of x in both angles:
a) 8x - 9 = 8(9) -9 and " 8x - 9 = 63°
b) 5x +18 = 5(9) + 18 and "5x+18" =63°