Question

The angles of quadrilateral are in the ratio 5 : 6 : 3 : 4. Find all the angles of the quadrilateral​

Answer 1

Answer:

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

We know that sum of all angles of a quadrilateral =360⁰

So, angles of quadrilateral are:

∠A= 183×360=60,

∠B= 184 ×360=80,

∠C= 185×360=100,

∠D= 186×360=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=180⁰.

Therefore, AB∥DC

Hence, the given quadrilateral is a trapezium.

Answer 2

Answer:

50°, 60°, 30° and 40

Step-by-step explanation:

Sum of angles in a quadrilateral is 180°,

5x + 6x + 3x + 4x = 180°

18x = 180°

x = 180° / 18

x = 10°

5x = 50°

6x = 60°

3x = 30°

4x = 40°

The angles of the quadrilateral are 50°, 60°, 30° and 40°.