Question

The angles of a quadrilaterals are in the ratio of 3: 4: 5: 6. The respective angles of the quadrilaterals areThe angles of a quadrilaterals are in the ratio of 3: 4: 5: 6. The respective angles of the quadrilaterals are​

Answer 1

Answer:

Step-by-step explanation:

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.

Answer 2

Required Question:

The angles of a quadrilaterals are in the ratio of 3: 4: 5: 6. The respective angles of the quadrilaterals are

Answer

Let 3:4:5:6 be 3x, 4x,5x,6x

According to angle sum property of quadrilateral

Sum of angles is equal to 360 degree.

3x+4x+5x+6x = 360

18x = 360

x = 360/18

x= 20

Angles are 60,80,100,120