the angle pqrs of quadrilateral pqrs are in the ratio 1: 3 :7 : 9. i). find the measure of each angle ii) is pqrs a trapezium ?why?. iii) is pqrs is a parallelogram ? why ?.
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1) let the angles be 1x,3x,7xand 9x
1x+3x+7x+9x=360°(by angle sum property of a quadrilateral)
20x=360°
x=360°/20
x=18
put the value of x in given angle
1x= 18×1=18°
3x=3×18=54°
7x=7×18=126°
9x=9×18=162°
2) Yes, pqrs a trapezium because it shows the property of it
3)No pqrs is not a parallelogram because it does not show the property of it
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