Question

Complete.

$m\angle AOB=\underset{¯}{?}$

Short answer

The complete statement is: $m\angle AOB=80°$.

Step-by-step solution

Step 1. Observe the given diagram.

The given diagram is:

From the given diagram it can be noticed that:

$\angle AOF=40°$and$\angle BOC=60°$

Step 2. Find the value of the angle AOB.

From the given diagram it can be noticed that the angles $AOF$, and $AOB$forms the straight angle that is an angle of measure $180°$.

Therefore,

$\angle AOF+\angle AOB+\angle BOC=180$

$40+\angle AOB+60=180$

$\angle AOB+100=180$

$\angle AOB=180-100$

$\angle AOB=80$

Therefore, the measure of the angle $AOB$is $80°$.

Step 3. Complete the given statement.

The measure of the angle $AOB$is $80°$.

Therefore, the complete statement is: $\angle AOB=80°$.