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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炉 is parallel to lineCI炉 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掳, 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 鈭�BEFand 鈭�EFCare same side interior angles, as

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

Therefore, linesBH炉 andCI炉 are parallel.

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