The angles of a quadrilateral are in the ratio 2:5:4:7.find the measures of each angle
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Let on angle be 2x
Other angles= 5x,4x,7x
ATQ
2x+5x+4x+7x=360
(Sum of all angles of a quadrilateral is 360)
18x=360
X=20
Angles=40,100,80,140
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Sum of the angle of a quadrilateral =360°
The ratio of angle = 2:4:5:7
Let the angles be 2x, 4x, 5x, 7x.
So, 2x+4x+5x+7x=360°
18x=360°
x=20°
So, 1st angle = 2x = 2×20=40°
2nd angle = 4x= 4×20= 80°
3rd angle = 5x= 5×20= 100°
4th angle = 7x=7×20=140°
HOPE IT HELPS
The ratio of angle = 2:4:5:7
Let the angles be 2x, 4x, 5x, 7x.
So, 2x+4x+5x+7x=360°
18x=360°
x=20°
So, 1st angle = 2x = 2×20=40°
2nd angle = 4x= 4×20= 80°
3rd angle = 5x= 5×20= 100°
4th angle = 7x=7×20=140°
HOPE IT HELPS
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