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Question
In a quadrilateral ABCD, the angles A, B, C and D are in the ratio 1 : 2 : 4 : 5. Find the measure of each angles of the quadrilateral
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Solution
Let the angles of the quadrilateral be
A = x, B = 2x, C = 4x and D = 5x then,
A + B + C + D = 360°
⇒ x + 2x + 4x + 5x = 360°
⇒ 12x = 360°
⇒ x = `(360°)/12`
⇒ x = 30°
∴ A = x = 30°
B = 2x = 60°
C = 4x = 30° (4) = 120°
D = 5x = 5 (30°) = 150°
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