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9966 [12]
3 years ago
9

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

Mathematics
1 answer:
lora16 [44]3 years ago
8 0

Answer:

The answer to your question is:

x = 10

∡BOC = 52°

Step-by-step 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°

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