Question

In the figure given above, $PQ$ is parallel to $RS$. What is the angle between the lines $PQ$ and $LM$?

• A. ${175}^{\circ }$
• B. ${177}^{\circ }$
• C. ${179}^{\circ }$
• D. ${180}^{\circ }$

Answer 1

The correct option is D ${180}^{\circ }$

R.E.F image

Given: $PQ\parallel RS$

since, $PQ\parallel RS$

By applying alternate

angle property

$\angle PQR=\angle QRS={55}^o$ ...(1)

and $\angle MLR+\angle SRL={180}^o$

Therefore, $LM\parallel RS$ ...(2)

(sum of interior angle property)

Therefore, from eq.

(1) and (2)

$PQ\parallel LM$

Therefore, from sum of interior angle property

the angle between the lines $PQ$ and $LM={180}^o$