the angle of quadrilateral are in the take 4:3:7:10 . find all the angle of the quadrilateral.
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the angle of quadrilateral are in the take 4:3:7:10 . find all the angle of the quadrilateral.
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Answer:
let the angles be '4x,3x,7x,10'
sum of all interior angles in quadrilateral = 360
4x, 3x, 7x, 10x = 360
24x = 360
x = 360/24
x = 15
4x = 60
3x = 45
7x =95
10x = 150
Let the measure of all the angles be x
then the angles are 4x,3x,7x,10x
we know that, the sum of all the angles of a quadrilateral is 360°
then,
4x+3x+7x+10x = 360°
24x = 360°
x = 15
First angle = 4x= 4*15 = 60°
Second angle = 3x = 3*15 = 45°
Third angle = 7x = 7*15 = 105°
Fourth angle = 10x = 10*15= 150°
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