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Chapter 3: Q9. (page 111)

Which line is parallel to AB炉? Why?

Short Answer

Expert verified

The lineAB炉 is parallel to the lineDF炉as they form a pair of same-side interior angles.

Step by step solution

01

Step 1. Highlight ∠BAD and ∠ADF.

02

Step 2. Description of step.

If a line intersects 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 a transversal of two parallel lines.

03

Step 3. Description of step.

From the figure, it can be observed that鈭�BAD and鈭�ADF are the same side interior angles, as

m鈭�BAD+m鈭�ADF=115+65=180

Therefore, linesAB炉 andDF炉 are parallel.

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