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Question

Angles of a quadrilateral are (4x)o,5(x+2)o,(7x20)o and 6(x+3)o, Find :

(i) the value of x.

(ii) each angle of the quadrilateral.


Solution

Angles of quadrilateral are,

(4x)o,5(x+2)o,(7x20)o and 6(x+3)o

4x+5(x+2)+(7x20)+6(x+3)=360o4x+5x+10+7x20+6x+18=360o22x+8=360o22x=360o8o22x=352ox=16o.

Hence angles are,

(4x)o=(4×16)o=64o5(x+2)o=5(16+2)o=90o,(7x20)o=(7×1620)o=92o6(x+3)o=6(16+3)=114o.

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