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Complete.

m∠FOB=?¯

Short Answer

Expert verified

The complete statement is: m∠FOB=120°.

Step by step solution

01

Step 1. Observe the given diagram.

The given diagram is:

From the given diagram it can be noticed that:

∠BOC=60°.

02

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

The angles FOBand form the linear pair.

Therefore, the sum of the angles FOBand BOCis 180.

Therefore, ∠FOB+∠BOC=180.

03

Step 3. Find the value of the angle FOB.

∠FOB+∠BOC=180

∠FOB+60=180

∠FOB=180−60

∠FOB=120

Therefore, the measure of the angleFOB is 120°.

04

Step 4. Complete the given statement.

120°The measure of the angle FOBis .

Therefore, the complete statement is: m∠FOB=120°.

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