Question

What the measure of AOB?

Answer 1

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°