Chapter 1: Q16 (page 21)

Complete. $m ∠ A L S - m ∠ 2 = m ∠ ?$

Short Answer

Expert verified

The answer is $m ∠ A L S - m ∠ 2 = m ∠ 1$

Step by step solution

Step 1. Observe the diagram.

From the given figure, it is observed that $∠ A L E = m ∠ 2$ and $∠ E L S = m ∠ 1$ .

Step 2. Description of step.

Clearly, $∠ A L S = ∠ A L E + ∠ E L S$ .

Step 3. Calculate m∠ALS-m∠2=m∠?

In order to find $m ∠ A L S - m ∠ 2$ , substitute $m ∠ 2$ for $∠ A L E$ and $m ∠ 1$ for $∠ E L S$ into $∠ A L S = ∠ A L E + ∠ E L S$ and then subtract $m ∠ 2$ from both sides of the equation.

$\begin{array}{l} ∠ A L S = ∠ A L E + ∠ E L S \\ = m ∠ 2 + m ∠ 1 \\ ∠ A L S - m ∠ 2 = m ∠ 2 + m ∠ 1 - m ∠ 2 \\ ∠ A L S - m ∠ 2 = m ∠ 1 \end{array}$

Therefore, $m ∠ A L S - m ∠ 2 = m ∠ 1$ .

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Complete. $m ∠ A L S - m ∠ 2 = m ∠ ?$

Short Answer

Step by step solution

Step 1. Observe the diagram.

Step 2. Description of step.

Step 3. Calculate m∠ALS-m∠2=m∠?

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Complete. m∠ALS−m∠2=m∠?

Short Answer

Step by step solution

Step 1. Observe the diagram.

Step 2. Description of step.

Step 3. Calculate m∠ALS-m∠2=m∠?

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Calculus

Theoretical and Mathematical Physics

Geometry

Logic and Functions

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Complete. $m ∠ A L S - m ∠ 2 = m ∠ ?$