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Pls help, it's 20 points

OA bisects measure of (a) 23
(b) 75
(c) 78.5
(d) 157

Pls help, it's 20 points OA bisects measure of (a) 23 (b) 75 (c) 78.5 (d) 157-example-1

1 Answer

3 votes

Answer:

C)78.5

Explanation:

∠BOZ = X

∠WOB = 7X - 4

X + 7X -4 = 180 {STRAIGHT LINE }

8X = 180 + 4

8X = 184

X = 184/8

X = 23

∠WOB = 7X - 4 = 7*23 - 4 = 161 - 4 = 157

OA bisects ∠WOB. So, ∠WOA =∠AOB

∠AOB = 1/2 of ∠WOB = 157/2 = 78.5

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