Chapter 1: Q13 (page 20)

Complete. $m ∠ 7 + m ∠ 6 = m ∠ ?$

Short Answer

Expert verified

The answer is $m ∠ 7 + m ∠ 6 = 180 ° - m ∠ 5$ .

Step by step solution

Step 1. Apply the definition of sum of angles on a straight line

The sum of all angles on a straight line is $180 °$ .

Step 2. Description of step

Since, angles on straight line ADE are $m ∠ 5$ , $m ∠ 6$ and $m ∠ 7$ , therefore, $m ∠ 5 + m ∠ 6 + m ∠ 7 = 180 °$ .

Step 3. Calculate m∠7+m∠6=m∠?

In order to find $m ∠ 7 + m ∠ 6$ , subtract $m ∠ 5$ from both sides of the equation $m ∠ 5 + m ∠ 6 + m ∠ 7 = 180 °$ .

$\begin{array}{l} m ∠ 5 + m ∠ 6 + m ∠ 7 = 180 ° \\ m ∠ 5 + m ∠ 6 + m ∠ 7 - m ∠ 5 = 180 ° - m ∠ 5 \\ m ∠ 7 + m ∠ 6 = 180 ° - m ∠ 5 \end{array}$

Therefore, $m ∠ 7 + m ∠ 6 = 180 ° - m ∠ 5$ .

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Complete. $m ∠ 7 + m ∠ 6 = m ∠ ?$

Short Answer

Step by step solution

Step 1. Apply the definition of sum of angles on a straight line

Step 2. Description of step

Step 3. Calculate m∠7+m∠6=m∠?

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Complete. m∠7+m∠6=m∠?

Short Answer

Step by step solution

Step 1. Apply the definition of sum of angles on a straight line

Step 2. Description of step

Step 3. Calculate m∠7+m∠6=m∠?

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Calculus

Theoretical and Mathematical Physics

Discrete Mathematics

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Probability and Statistics

Study anywhere. Anytime. Across all devices.

Complete. $m ∠ 7 + m ∠ 6 = m ∠ ?$