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Can someone help me out with this question? (Example 1)

Can someone help me out with this question? (Example 1)-example-1

1 Answer

2 votes

Answer:

The answer to your question is:

x = 10

∡BOC = 52°

Explanation:

Data

∡AOB = ∡COD = 25°

∡BOC = (4x + 12)°

∡AOD = 102°

Process

∡AOD = ∡AOB + ∡BOC + ∡COD

102° = 25° + 4x + 12 + 25 Solve for x

102 - 25 - 12 - 25 = 4x

4x = 40

x = 40/4

x = 10

∡BOC = 4(10) + 12

= 40 + 12

= 52°

User Bowlerae
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