Question

The angles of a quadrilateral are in A.P whose common difference 'd' is 10 degree Find angles??

Answer 1

Let 4 angles of quad in AP be x , x+10 ,x+20 , x+30

ATQ,

x+x+10+x+20+x+30=360[sum of 4 angles of quad.]

4x+60=360

4x=360-60

4x=300

x=300/4

x=75

hence angles of quad are 75,85,95,105 which are in AP.

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