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Chapter 3: Q15. CR (page 111)

If 鈭�4鈮�鈭�5and 鈭�1鈮�鈭�7name two other pairs of congruent angles and give a reason for each answer.

Short Answer

Expert verified

The two pairs of congruent angles are鈭�2鈮�鈭�8 and 鈭�3鈮�鈭�6.

Step by step solution

01

Step 1. Highlight ∠4,∠5,∠1 and ∠7.

02

Step 2. Description of step.

From the given figure it can be observed that,鈭�3,鈭�4and鈭�5,鈭�6are supplementary angles and it is given that 鈭�4鈮�鈭�5.

If the two angles are supplement of congruent angles, then the two angles are congruent. Therefore, 鈭�3鈮�鈭�6.

03

Step 3. Description of step.

If two angles of a triangle are congruent to the two angles of another triangle then the third angles are also congruent.

As鈭�1鈮�鈭�7 and鈭�3鈮�鈭�6 implies that 鈭�2鈮�鈭�8.

Therefore, the two pairs of congruent angles are 鈭�2鈮�鈭�8and 鈭�3鈮�鈭�6.

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Most popular questions from this chapter

State the postulate or theorem that justifies each statement.

鈭�3 is supplementary to鈭�5

Find the values of x,yand z

Name five lines parallel to plane ABCD

Classify each pair of angles as alternate interior, same side interior or corresponding angles

art

and

Exercises 23-29 refer to the diagram in step 2 of exercise 22.

Name five lines that appear to be parallel toAG炉.
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