Question

Use this figure to find value of FOD

Answer 1

Line CD is a straight line.
∠COD = 90°

Given that adjacent angles on a straight line add up to 180°,

∠BOD + ∠COD = 180°

∠BOD + 90 = 180

∠BOC = 90°

∠FOD = 90 - 15 - 12 = 63°

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Answer: ∠FOD = 63° (Answer C)
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Answer 2

Hey there!

BOD is a 90 degrees angle. Make an equation for that angle. 15+12+x=90. Simplify this to 27+x=90. You need to isolate x, so subtract 27 on each side to get x=63. C is the answer.

I hope this helps!