Question

In the given figure, POS is a line . find angle QOR.

Answer 1

If POS is a straight line, poq+qor+ros=180
60+40+5x-20=180
5x-20=80
5x=100
x=20.
qor=5x-20
=80

Answer 2

Hi friend ,

/_ POQ + /_QOR+/_ ROS = 180° ( Linear pair)

60° + 5x-20+ 40° = 180°
100° +5x-20 = 180°
80° +5x = 180°
5x = 180°-80°
5x = 100°
x = 20°

/_QOR = 5x-20

5×20-20

100°-20°

80°=/_ QOR

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Hope this helped u...