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Chapter 2: Q11 (page 52)

Complete.

鈭�AOE鈮�?炉

Short Answer

Expert verified

The complete statement is: 鈭�AOE鈮�鈭�BOD.

Step by step solution

01

Step 1. Observe the given diagram.

The given diagram is:

02

Step 2. Definition of congruent angles.

The two angles are said to be congruent angles if they have equal measure.

If two angles A and B are congruent then it can be written as鈭�A鈮�鈭�B.

03

Step 3. Write the theorem 2-3.

Theorem 2-3 states that the vertical angles are congruent.

04

Step 4. Write the relations between the angles AOE and BOD.

From the diagram, it can be noticed that:

The angles AOEand BODare vertically opposite angles.

Therefore, from theorem 2-3, it can be said that the angles AOEand BODare congruent angles.

05

Step 5. Complete the statement.

As the angles AOEand BODare congruent angles.

Therefore, 鈭�AOE鈮�鈭�BOD.

Therefore, the complete statement is: 鈭�AOE鈮�鈭�BOD.

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