Question

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

Answer:

let the angles be x , 3x , 5x , 9x. so. x +3x+5x+9x =360 20x=360

x = 360/20

= 18

angle POQ = 18 , ANGLE QOR =3×18 =54 ,ANGLE ROS =5×18=90 ,ANGLE SOP =9×18. =162