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Chapter 2: Q15 (page 52)

Complete.

m∠COD=?¯

Short Answer

Expert verified

The complete statement is: m∠COD=40°.

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°

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 COD and AOF.

From the diagram it can be noticed that:

The angles CODand AOFare vertically opposite angles.

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

Therefore, ∠COD≅∠AOF.

Therefore, ∠COD=∠AOF=40°.

05

Step 5. Complete the statement.

Therefore, the measure of the angle CODis 40°.

Therefore, the complete statement is:m∠COD=40°.

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Most popular questions from this chapter

Provide a counterexample to show that each statement is false.

Statement: If a four-sided figure has four right angles, then it has four congruent sides.

State which postulate, definition, or theorem justifies the statement about the diagram.

BD+DC=BC

Copy everything shown and supply missing statements and reasons.

Given:FL=AT

Prove: FA=LT

Proof:

State the hypothesis and the conclusion of each conditional.

If , then .

Copy everything shown and supply missing statements and reasons.

Given: ∠AODas shown

Prove: m∠AOD=m∠1+m∠2+m∠3

Proof:
See all solutions

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