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Chapter 3: Q7 (page 97)

Complete.

If m∠6=55and m∠10=150,then m∠8=?

Short Answer

Expert verified

If m∠6=55and m∠10=150, then m∠8is 95.

Step by step solution

01

Step 1. Observe the given figure and highlight angle 6, angle 10 and angle 8.

02

Step 2. Apply exterior angle theorem.

The measure of an exterior angle of a triangle is equal to the sum measures of two remote interior angles of a triangle.

03

Step 3. Description of step.

From the given figure, it can be observed that ∠10is exterior angle and ∠6and ∠8are remote interior angles. Therefore, the sum of measures of ∠6and ∠8is equal to measure of ∠10,that is,

m∠6+m∠8=m∠1055+m∠8=150m∠8=95

Therefore, the value of m∠8is 95.

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