the angles of a quadrilateral are in the ratio 1 is to do is to do is to 5 find the difference between the measures of the largest and the smallest angle
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Ratio of angles = 1:2:2:5
Let ratio of angles be x
Angles = x, 2x, 2x, 5x
Sum of angles of a quadrilateral = 360°
x+2x+2x+5x=360
10x=360
x=360/10
x=36°
Angle 1 = x = 36°
Angle 2 = 2x = 2×36 = 72°
Angle 3 = 2x = 2×36 = 72°
Angle 4 = 5x = 5×36 = 180°
Let ratio of angles be x
Angles = x, 2x, 2x, 5x
Sum of angles of a quadrilateral = 360°
x+2x+2x+5x=360
10x=360
x=360/10
x=36°
Angle 1 = x = 36°
Angle 2 = 2x = 2×36 = 72°
Angle 3 = 2x = 2×36 = 72°
Angle 4 = 5x = 5×36 = 180°
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