Question

In the given figure, find AOD and BOC.
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Answer 1

Answer:

sum of all angle at a point is 360 then

Step-by-step explanation:

115+95+7+2x+3x=360

5x+217=360

5x=143

x=28.6

AOD=7+2x+3x

AOD=7+57.2+85.8

AOD=143+7

AOD=150

BOC=2x

BOC=57.2

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Answer 2

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∠ AOB + ∠ BOC + ∠ COD + ∠DOE + ∠ EOA = 360°

3x° + 2x° + 7° + 115° + 95° = 360°

5x° + 217° = 360°

5x° = 360° - 217°

5x° = 143°

x° = 143° / 5°

x° = 28.6°

∠ AOD = ∠ AOB + ∠ BOC + ∠ COD

= 3x° + 2x° + 7°

= 3(28.6)° + 2(28.6)° + 7°

= 85.8° + 57.2° + 7°

∠ AOD = 150°

∠ BOC = 2x°

= 2(28.6)°

∠ BOC = 57.2°

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