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Chapter 3: Q13. (page 111)

m∠6+m∠7+m∠8=?

Short Answer

Expert verified

m∠6+m∠7+m∠8=180°.

Step by step solution

01

Step 1. Highlight ∠6, ∠7 and ∠8 in the given diagram.

02

Step 2. Apply an angle sum theorem.

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

03

Step 3. Description of step.

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

m∠6+m∠7+m∠8=180°

Therefore,m∠6+m∠7+m∠8=180°.

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