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Pavel [41]
3 years ago
14

What the measure of AOB?

Mathematics
1 answer:
blondinia [14]3 years ago
5 0

Answer:

∠ AOB = 17.5°

Step-by-step explanation:

∠ AOB + 110 + ∠ COD = 180 ( sum of angles in straight line )

\frac{1}{3} ∠ COD + 110 + ∠ COD = 180 ( subtract 110 from both sides )

\frac{4}{3} ∠ COD = 70 ( multiply both sides by 3 to clear the fraction )

4 ∠ COD = 210 ( divide both sides by 4 )

∠ COD = 52.5°

Thus

∠ AOB = \frac{1}{3} × 52.5° = 17.5°

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