Question

In the given figure COE and BOD are right angles. If the measure of BOC is four times the

measure of COD, which is the measure of AOB?

Answer 1

The measure of angle AOB is 180°.

Since COE and BOD are right angles, the measure of both angles is 90°.

The measure of COD is 1/4th of the measure of BOC, which is 90°. Therefore, the measure of COD is 90/4 = 22.5°.

Adding the measures of all three angles gives us 180°.

Therefore, the measure of AOB = 180 - (90 + 22.5) = 67.5°