Question

5. If angle A, angle B, angle C and angle D of quadrilateral ABCD, taken in order, are in the ratio
3: 7:6:4, then ABCD is a
(a) kite
(b) rhombus (c) trapezium
(d) parallelogram​

Answer 1

Answer:

it will be trapezium

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Answer 2

Sum of all angles of a quadrilateral is 360° .

let the angles be x , so that

3x+7x+6x+4x = 360°

20x= 360°

x=360/20°

x= 18 °

3x= 18*3=54°

7x = 7*18 = 126°

6x = 18*6 = 108°

4x = 4*18 = 72°

If Angle A = 54°

angle B = 126°

angle C = 108°

angle D = 72°

if Angle A + angle B = 180° and angle C + angle D = 180° then we can prove that it is a trapezium.