Question

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Plz answer

Answer 1

Answer:

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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Answer 2

Step-by-step explanation:

The Line POQ is a Straight line, Hence Rays falling on it forms Linear Pair of Angles

*Sum of Linear pair of Angles is 180°*

Angle POS, SOR and QOR are linear pair of angles

Hence

Measure of angle (POS + SOR + QOR) = 180°

30° + 2y + 3y = 180

5y = 180 - 30

5y = 150

y =30°

MEASURE OF ANGLE SOR = 2 x 30 = 60°

MEASURE OF ANGLE QOR = 3 x 30 = 90°