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Chapter 3: Q5 (page 97)

Complete. m鈭�6+m鈭�7+m鈭�8=?

Short Answer

Expert verified

m鈭�6+m鈭�7+m鈭�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掳.

03

Step 3. Description of step.

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

m鈭�6+m鈭�7+m鈭�8=180

Therefore, m鈭�6+m鈭�7+m鈭�8=180.

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