Question

The angles of a quadrilateral are in the ratio 4 : 6 : 5 : 9.Find the largest angle.

Answer 1

Answer:

sum of an quadilateral is 360 degree

Step-by-step explanation:

let the angle be 4x,6x,5x,9x

sum of quadilateral =360

4x+6x+5x+9x=360

24x=360

x=360÷24

x=15

4x15=60

6×15=90

5×15=75

9×15=135

all angles are

Answer 2

Answer:

Since the angles are in the ratio 4:6:5:9, we can take the angles as:-

4x, 6x, 5x, 9x.

We know the sum of all the angles in a quadrilateral is 360°.

So,

4x + 5x + 6x + 9x= 360

24x = 360

x=  $\frac{360}{24}$

x= 15

Substituting this in the angle of the ratios:-

1st Angle=

4 x 15

= 60°

2nd Angle=

5 x 15

= 75°

3rd Angle=

6 x 15

= 90°

4th Angle=

9 x 15

135°

Therefore the angles are:- 60°, 75°, 90° and 135°

The largest angle is 135°