Question

The angles of quadrilateral are in the ratio 3:5:9:13. Find
all the angle of the quadrilateral.​

Answer 1

Answer:

add the ratios: 3+5+9+13=30

lets keep:

angle A=3/30*360

angle B=5/30*360

angle C=9/30*360

angle D=13/30*360

so,

angle A=36

angle B=60

angle C=108

angle D=156

HOPE THIS HELPED YOU. PLEASE DO MARK ME AS THE BRAINLIEST

Answer 2

Answer:

AnswEr :

The all angles of a quadrilateral is 36°, 60°, 108°, and 156° respectively.

⠀

$hiii$

Explanation :

We are given with the angles of a quadrilateral but we have been given in the ratio, that is,

3 : 5 : 9 : 13.

We have to find out the all angles of a quadrilateral..

⠀____________________________

Now,

Let us assume that, the angles of a quadrilateral is 3x, 5x, 9x and 13x.

As we are given with the ratio of angles of a quadrilateral.

As we know that

The sum of all angles of a quadilateral is 360°. This statement is known as 'angle sum property of quadrilateral'.

⇒ 3x + 5x + 9x + 13x = 360

⇒ 8x + 9x + 13x = 360

⇒ 17x + 13x = 360

⇒ 30x = 360

⇒ x = 360/30

⇒ x = 36/3

⇒ x = 12

⠀

Therefore,

The all angles of a quadrilateral will be,

⠀

3x = 3 × 12 = 36°.

5x = 5 × 12 = 60°.

9x = 9 × 12 = 108°.

13x = 13 × 12 = 156°.

Hence, the all angles of a quadrilateral is 36°, 60°, 108°, and 156° respectively.