Question

The angles A, B, C and D of a quadrilateral ABCD are in the ratio 2:4:5:7.
What type of quadrilateral is it?
(a) Parallelogram
(b) Rhombus
(c) Trapezium
(d) Rectangle​

Answer 1

Answer:

c is the answer of your question

Answer 2

Trapezium
The reason is below-
The angles are in the ration 2:4:5:7
So, if we take the angles as 2x, 4x, 5x and 7x and apply angle sum property,
We get x=20
So the angles are 40, 80, 100, 140
Angle c and B are 80 and 100 this way
Notice that 100+ 80= 180
These are co interior angles and since the sum of co interior angles is 180,
One pair of opposite side is parallel,
So it is a trapezium