Question

in figure angle POQ: QOR: ROS: SOP = 1:3:5:9. Find the measures of all angles.​

Answer 1

Answer:

20°,60°,100°,180°

Step-by-step explanation:

angle QOR+POQ+ROS+SOP=360°

SUM OF THE ANGLES AROUND A POINT IS 360°

ANGLE POQ=1x

ANGLE QOR=3x

ANGLE ROS=5x

ANGLE SOP=9x

1x+3x+5x+9x=360°

18x=360°

x=360° =20

18

Therefore,

angle POQ=1x=20°

angleQOR=3x=3×20=60°

ANGLE ROS=5×20=100°

ANGLE SOP=9×20=180°

Answer 2

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