Chapter 3: Q15. CR (page 111)

If $∠ 4 ≅ ∠ 5$ and $∠ 1 ≅ ∠ 7$ name two other pairs of congruent angles and give a reason for each answer.

Short Answer

Expert verified

The two pairs of congruent angles are $∠ 2 ≅ ∠ 8$ and $∠ 3 ≅ ∠ 6$ .

Step by step solution

Step 1. Highlight ∠4,∠5,∠1 and ∠7.

Step 2. Description of step.

From the given figure it can be observed that, $∠ 3, ∠ 4$ and $∠ 5, ∠ 6$ are supplementary angles and it is given that $∠ 4 ≅ ∠ 5$ .

If the two angles are supplement of congruent angles, then the two angles are congruent. Therefore, $∠ 3 ≅ ∠ 6$ .

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 $∠ 1 ≅ ∠ 7$ and $∠ 3 ≅ ∠ 6$ implies that $∠ 2 ≅ ∠ 8$ .

Therefore, the two pairs of congruent angles are $∠ 2 ≅ ∠ 8$ and $∠ 3 ≅ ∠ 6$ .

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If $∠ 4 ≅ ∠ 5$ and $∠ 1 ≅ ∠ 7$ name two other pairs of congruent angles and give a reason for each answer.

Short Answer

Step by step solution

Step 1. Highlight ∠4,∠5,∠1 and ∠7.

Step 2. Description of step.

Step 3. Description of step.

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

Short Answer

Step by step solution

Step 1. Highlight ∠4,∠5,∠1 and ∠7.

Step 2. Description of step.

Step 3. Description of step.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Calculus

Geometry

Discrete Mathematics

Mechanics Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

If $∠ 4 ≅ ∠ 5$ and $∠ 1 ≅ ∠ 7$ name two other pairs of congruent angles and give a reason for each answer.