in a quadrilateral abcd if angle=60°and angle b:c:d are 2:3:7find angle d is
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In a quadrilateral abcd if angle=60°and angle b:c:d are 2:3:7find angle d is ___
Answer :-
Let the angles of the quadrilaterals are A = x, B = 2x, C = 4x and D = 5x
We know, sum of all angles of a quadrilateral = 360° A + B + C + D = 360°
x + 2x + 4x + 5x = 360°
12x = 360°
x = 360°/12 = 30°
Therefore,
A = x = 30°
B = 2x = 60°
C = 4x = 120°
D = 5x = 15°
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