Question

24. The angles of a quadrilateral are in ratio 4:6:9:11 find all the angles of the quadrilateral​

Answer 1

Ans- Sum of all angels in a quadilateral =360°

Now we are given the ratios as

4:6:9:11

4x:6x:9x:11x

Then,

4x+6x+9x+11x = 360

30x = 360

x=360/30

x=12

Now putting the value of x we get,

4*12=48°

6*12=72°

9*12=108°

11*12=132°

______Ans_____

Answer 2

Step-by-step explanation:

GIVEN-

The angles of a quadrilateral are in the ratio 4:6:9:11.

FIND-

All the angles of the quadrilateral.

SOLUTION-

Let the angles of the quadrilateral be

(4×x)°, (6×x)°, (9×x)°, (11×x)°

=4x°, 6x°, 9x°, 11x°

By condition,

4x°+6x°+9x°+11x°= 360° (Angle Sum Property)

4x+6x+9x+11x= 360

30x = 360

x= 360/30

x= 12

ANSWER-

1st angle= 4x°= (4×12)°= 48°

2nd angle= 6x°=(6×12)°= 72°

3rd angle= 9x°= (9×12)°= 108°

4th angle= 11x°= (11×12)° =132°

I hope this will help you.