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Chapter 1: Q20 (page 20)

Complete.m∠6+m∠5=m∠?

Short Answer

Expert verified

The answer ism∠6+m∠5=180°−m∠7

Step by step solution

01

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

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

02

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°.

03

Step 3. Calculate m∠7+m∠6=m∠?

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

m∠5+m∠6+m∠7=180°m∠5+m∠6+m∠7−m∠7=180°−m∠7m∠6+m∠5=180°−m∠7

Therefore, m∠6+m∠5=180°−m∠7.

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