Question

*If the angles of a quadrilateral are in the ratio 3: 2: 1: 4 then what is the type of quadrilateral*

1️⃣ Parallelogram
2️⃣ Trapezium
3️⃣ Kite
4️⃣ none of these​

Answer 1

Answer:

2 trapezium

Explanation:

Correct option is

3

Trapezium

Given that angles of a quadrilateral are in the ration 3:4:5:6.

We know that sum of all angles of a quadrilateral =360

0

.

So, angles of quadrilateral are:

∠A=

18

3

×360=60,∠B=

18

4

×360=80,∠C=

18

5

×360=100,∠D=

18

6

×360=120

Now from figure, we have

∠A+∠D=60+120=180

i.e. sum of interior angles on the same side of the transversal AD=180

0

.

Therefore, AB∥DC

Hence, the given quadrilateral is a trapezium.

solution