the angles of a quadrilateral is in A.P. whose c.d=10 .find the angles?
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Answered by
3
let the first angle be X
then the other angles are X+10 , X+20, X+30
X+X+10+X+20+X+30 = 360
4X + 60 = 360
4X = 300
X = 75
therefore the angles are 75, 85, 95, and 105
then the other angles are X+10 , X+20, X+30
X+X+10+X+20+X+30 = 360
4X + 60 = 360
4X = 300
X = 75
therefore the angles are 75, 85, 95, and 105
Answered by
1
Answer: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.
hope this help u.....
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