Question

What the measure of AOB?

Answer 1

∠ AOB = 17.5°

Explanation:

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

`(1)/(3)` ∠ COD + 110 + ∠ COD = 180 ( subtract 110 from both sides )

`(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 =
`(1)/(3)` × 52.5° = 17.5°