Question

the angle of quadrilateral are in ratio 3:5:9:13 find the greatest angle of the quadrilateral 156​

Answer 1

Answer:

Step-by-step explanation:

Let us take the angles as 3x, 5x, 9x and 13x. We know that the sum of all angles of a quadrilateral is 360 degrees. So, 3x+5x+9x+13x=360 degrees.

i.e 30x=360 degrees.

So, x=12 degrees.

Clearly the greatest angle of the quadrilatral is 13x.

13x= 13*12= 156 degrees.