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Chapter 2: Q11 (page 52)

Complete.

Short Answer

Expert verified

The complete statement is: ∠AOB≅∠EOD.

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∠A≅∠B.

03

Step 3. Write the theorem 2-3.

The theorem 2-3 states that the vertical angles are congruent.

04

Step 4. Write the relations between the angles AOB and EOD.

From the diagram, it can be noticed that:

The angles AOBand EODare vertically opposite angles.

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

05

Step 5. Complete the statement.

As, the angles AOBand EODare congruent angles.

Therefore, ∠AOB≅∠EOD.

Therefore, the complete statement is:∠AOB≅∠EOD.

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