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Vika [28.1K]
3 years ago
13

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

Mathematics
1 answer:
Lostsunrise [7]3 years ago
4 0

Answer:

C)78.5

Step-by-step 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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Given system of equations:

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To solve by substitution, equate the equations and solve for x:

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