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Chapter 2: Q15 (page 52)

Complete.

m鈭�COD=?炉

Short Answer

Expert verified

The complete statement is: m鈭�COD=40掳.

Step by step solution

01

Step 1. Observe the given diagram.

The given diagram is:

From the given diagram it can be noticed that:

鈭�AOF=40掳

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.

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, 鈭�COD鈮�鈭�AOF.

Therefore, 鈭�COD=鈭�AOF=40掳.

05

Step 5. Complete the statement.

Therefore, the measure of the angle CODis 40掳.

Therefore, the complete statement is:m鈭�COD=40掳.

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Most popular questions from this chapter

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

m鈭�AEB+m鈭�BEC=m鈭�AEC

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

If BD炉鈮�DC炉, then D is the midpoint of BC炉.

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

If D is the midpoint of BC炉, then BD=12BC.

Justify each statement with a property from algebra or property of congruence.

If x+5=16then x=11.

Copy everything shown and write a two-column proof.

Given:RQ=TP;

ZQ=ZP

Prove:RZ=TZ
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