Chapter 4: Q.14 (page 165)

State whether the given information be used to prove that two lines are parallel and also state which lines.
$m ∠ 2 = m ∠ 6$

Short Answer

Expert verified

The given condition can prove two lines parallel and the lines that are parallel are $a ∥ b$ .

Step by step solution

Step 1. Consider the diagram.

Here, $m ∠ 2 = m ∠ 6$ .

Step 2. Show the calculation.

Using the theorem which states-

If two lines are cut by a transversal and alternate interior angle are congruent, then lines are parallel.

Since, angle $∠ 2$ and $∠ 6$ are alternate interior angles, the line $c$ is the transversal cutting the lines $a$ and $b$ , which are parallel to each other.

So, $a ∥ b$

Step 3. State the conclusion.

Therefore, the condition $m ∠ 2 = m ∠ 6$ proves $a ∥ b$ .

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State whether the given information be used to prove that two lines are parallel and also state which lines.
$m ∠ 2 = m ∠ 6$

Short Answer

Step by step solution

Step 1. Consider the diagram.

Step 2. Show the calculation.

Step 3. State the conclusion.

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State whether the given information be used to prove that two lines are parallel and also state which lines.m∠2=m∠6

Short Answer

Step by step solution

Step 1. Consider the diagram.

Step 2. Show the calculation.

Step 3. State the conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Pure Maths

Applied Mathematics

Logic and Functions

Theoretical and Mathematical Physics

Probability and Statistics

Geometry

Study anywhere. Anytime. Across all devices.

State whether the given information be used to prove that two lines are parallel and also state which lines.
$m ∠ 2 = m ∠ 6$