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