SOLUTION: In the above figure, lines l and m are parallel. What is the measure of ∠R? A - 100 B - 120 C - 140 D - 160 Image - https://www.assetonline.in/asset_online/Round3/MATHS_I

Algebra ->  Angles -> SOLUTION: In the above figure, lines l and m are parallel. What is the measure of ∠R? A - 100 B - 120 C - 140 D - 160 Image - https://www.assetonline.in/asset_online/Round3/MATHS_I      Log On


   

Question 1162666: In the above figure, lines l and m are parallel.
What is the measure of ∠R?
A - 100
B - 120
C - 140
D - 160
Image - https://www.assetonline.in/asset_online/Round3/MATHS_IMAGES/class8/283_37_q.jpg
Answer by greenestamps(13203) About Me  (Show Source):
You can put this solution on YOUR website!


Answer C

Here's one way to find it.

Draw a third line n through Q, parallel to the other two lines l and m.

The 100 degree angle is divided into two angles; the angle above line n is 60 degrees because it is congruent to the measured angle at P.

The angle below line n at Q is then 100-60 = 40 degrees.

Then the measure of angle R is 180-40 = 140 degrees.