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Chapter 3: Q5 (page 97)

Complete. m∠6+m∠7+m∠8=?

Short Answer

Expert verified

m∠6+m∠7+m∠8=180

Step by step solution

01

Step 1. Observe the given figure and highlight angle 6, angle 7 and angle 8 .

02

Step 2. Apply an angle sum theorem.

The sum of measures of all interior angles of a triangle is 180°.

03

Step 3. Description of step.

From the given figure, it can be observed that ∠6,∠7and ∠8are interior angles of a triangle. Therefore, the sum of measures of ∠6,∠7and is ∠8, that is,

m∠6+m∠7+m∠8=180

Therefore, m∠6+m∠7+m∠8=180.

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