Question

If the angles of a quadrilateral are in the ratio 3:2:1:4 than what is the type of quadrilateral
1) parallelogram
2) Trapezium
3) kite
4) none of those ​

Answer 1

Answer:

trapezium

Step-by-step explanation:

→ Let the measure of angles be x, 2x, 3x and 4x.

We know that sum of measure of all four angles is

360°.

..x + 2x + 3x + 4x = 360°

10x=360°

x= 36°

2x = 2 X 36° = 72°

3x = 3 X 36° = 108°

4x = 4 x 36° = 144°

→ The measures of angles of quadrilateral are

36°, 72°, 108° and 144º.

We can see measure of all 4 angles are different so the given quadrilateral is a trapezium