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Chapter 2: Q17 (page 52)

Complete.

m∠AOB=?¯

Short Answer

Expert verified

The complete statement is: m∠AOB=80°.

Step by step solution

01

Step 1. Observe the given diagram.

The given diagram is:

From the given diagram it can be noticed that:

∠AOF=40°and∠BOC=60°

02

Step 2. Find the value of the angle AOB.

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

Therefore,

∠AOF+∠AOB+∠BOC=180

40+∠AOB+60=180

∠AOB+100=180

∠AOB=180−100

∠AOB=80

Therefore, the measure of the angle AOBis 80°.

03

Step 3. Complete the given statement.

The measure of the angle AOBis 80°.

Therefore, the complete statement is: ∠AOB=80°.

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