solve this please

​Q10. In parallelogram ABCD, AP and AQ are perpendiculars from vertex of obtuse angle A as shown. If  x : ​ y = 2 : 1 ; find the angles of the parallelogram.
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Dear student
Let the common ratio for x and y be aSo, x=2a and y=aIn quadrilateral AQCP, by angle sum property of quadrilateral, we haveAQC+QCP+CPA+PAQ=360°90°+2a+90°+a=360°3a=180°a=60°So, x=2a=2×60°=120°and y=a=60°Now, C+B=180    [Adjacent angles are supplementary]120°+B=180°B=60°Since opposite angles of a gm are equalSo,C=A=120°and D=B=60°
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