In a quadrilateral ABCD, angle B + angle D = 140 degrees, angle B is to angle D is -- 1:3
and angle A : angle C = 5:6. Find all the angles of the quadrilateral

Dear Student,

Please find below the solution to the asked query :

We have ABCD as the given quadrilateral.Let B = x and D = 3xNow, B + D = 140°x + 3x = 140°4x = 140°x = 35Now, B = x = 35°; D = 3x = 3×35 = 105°Let A = 5y ; C = 6ynow, A + B + C + D = 360°  angle sum property5y + 35° + 6y + 105° = 360°11y = 220y = 20So, A = 5×20 = 100°C = 6×20 = 120°

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