Chapter 1: Q15 (page 21)

Complete. $m ∠ 3 + m ∠ 4 = m ∠ ?$

Short Answer

Expert verified

The answer is $m ∠ 3 + m ∠ 4 = m ∠ A$

Step by step solution

Step 1. Observe the diagram.

From the given figure, it is observed that $∠ D A L = m ∠ 3$ and $∠ D A E = m ∠ 4$ .

Step 2. Description of step.

Since, $∠ L A S = m ∠ A$ such that $∠ L A S = ∠ D A L + ∠ D A E$ .

Step 3. Calculate m∠3m+∠4=m∠?

In order to find $m ∠ 3 + m ∠ 4$ , substitute $m ∠ 3$ for $∠ D A L$ and $m ∠ 4$ for $∠ D A E$ into $∠ L A S = ∠ D A L + ∠ D A E$ .

$\begin{array}{l} ∠ L A S = ∠ D A L + ∠ D A E \\ = m ∠ 3 + m ∠ 4 \\ m ∠ A = m ∠ 3 + m ∠ 4 \end{array}$

Therefore, $m ∠ 3 + m ∠ 4 = m ∠ A$ .

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Complete. $m ∠ 3 + m ∠ 4 = m ∠ ?$

Short Answer

Step by step solution

Step 1. Observe the diagram.

Step 2. Description of step.

Step 3. Calculate m∠3m+∠4=m∠?

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Complete. m∠3+m∠4=m∠?

Short Answer

Step by step solution

Step 1. Observe the diagram.

Step 2. Description of step.

Step 3. Calculate m∠3m+∠4=m∠?

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Discrete Mathematics

Statistics

Geometry

Applied Mathematics

Decision Maths

Logic and Functions

Study anywhere. Anytime. Across all devices.

Complete. $m ∠ 3 + m ∠ 4 = m ∠ ?$