Question

Complete.

$m\angle FOB=\underset{¯}{?}$

Short answer

The complete statement is: $m\angle FOB=120°$.

Step-by-step solution

Step 1. Observe the given diagram.

The given diagram is:

From the given diagram it can be noticed that:

$\angle BOC=60°$.

Step 2. Write the relation between the angles FOB and BOC.

The angles $FOB$and form the linear pair.

Therefore, the sum of the angles $FOB$and $BOC$is 180.

Therefore, $\angle FOB+\angle BOC=180$.

Step 3. Find the value of the angle FOB.

$\angle FOB+\angle BOC=180$

$\angle FOB+60=180$

$\angle FOB=180-60$

$\angle FOB=120$

Therefore, the measure of the angle$FOB$ is $120°$.

Step 4. Complete the given statement.

$120°$The measure of the angle $FOB$is .

Therefore, the complete statement is: $m\angle FOB=120°$.