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Chapter 3: Q10. (page 111)

Name a pair of parallel lines other than the pair in Exercise 9. Why must they be parallel?

Short Answer

Expert verified

LineBH¯ is parallel to lineCI¯ as they form a pair of same side interior angles.

Step by step solution

01

Step 1. Highlight ∠BEF and ∠EFC.

02

Step 2. Description of step.

If a line intersect two lines and it makes two angles on the same side such that sum of two angles is equal to 180°, then the lines are parallel and that line is transversal of two parallel lines.

03

Step 3. Description of step.

From the figure it can be observed that ∠BEFand ∠EFCare same side interior angles, as

width="211" height="44" role="math">m∠BEF+m∠EFC=90+90=180

Therefore, linesBH¯ andCI¯ are parallel.

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