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Chapter 3: Q13. (page 111)

m鈭�6+m鈭�7+m鈭�8=?

Short Answer

Expert verified

m鈭�6+m鈭�7+m鈭�8=180掳.

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掳.

03

Step 3. Description of step.

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

m鈭�6+m鈭�7+m鈭�8=180掳

Therefore,m鈭�6+m鈭�7+m鈭�8=180掳.

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Most popular questions from this chapter

Complete each statement with the word always, sometimes, or never.

Two planes parallel to the same line are parallel to each other

The blue line is a transversal.

a. Name four pairs of corresponding angles.

b. Name two pairs of alternate interior angles.

c. Name two pairs of same-side interior angles.

d. Name two pairs of angles that could be called alternate exterior angles.

e.

Find the values xof yand

Classify each pair of angles as alternate interior angles, same-side interior angles, or corresponding angles.

and

Classify each pair of angles as alternate interior angles, same-side interior angles, or corresponding angles.

and

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