Chapter 3: Q14. CR (page 111)

If $m ∠ 1 = 30$ and $m ∠ 4 = 130$ then $m ∠ 2 = ?$

Short Answer

Expert verified

The measure of $∠ 2$ is 100.

Step by step solution

Step 1. Highlight ∠1, ∠2 and ∠4.

Step 2. Apply exterior angle theorem.

The measure of an exterior angle is equal to the sum of measure of two remote interior angles.

Step 3. Description of step.

From the figure it can be observed that $∠ 1, ∠ 2$ are remote interior angles $∠ 4$ and is exterior angle then by exterior angle theorem,

$m ∠ 1 + m ∠ 2 = m ∠ 4 30 + m ∠ 2 = 130 m ∠ 2 = 130 - 30 = 100$

Therefore, the measure of $∠ 2$ is 100.

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If $m ∠ 1 = 30$ and $m ∠ 4 = 130$ then $m ∠ 2 = ?$

Short Answer

Step by step solution

Step 1. Highlight ∠1, ∠2 and ∠4.

Step 2. Apply exterior angle theorem.

Step 3. Description of step.

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If m∠1=30and m∠4=130 thenm∠2=?

Short Answer

Step by step solution

Step 1. Highlight ∠1, ∠2 and ∠4.

Step 2. Apply exterior angle theorem.

Step 3. Description of step.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Geometry

Statistics

Decision Maths

Calculus

Mechanics Maths

Study anywhere. Anytime. Across all devices.

If $m ∠ 1 = 30$ and $m ∠ 4 = 130$ then $m ∠ 2 = ?$