Question

The angle of quadrilateral are in the ratio 2:3:5:8 . Find all the angles of the quadrilateral.
AD and​

Answer 1

Answer:

40°,60°,100° and160°.

Step-by-step explanation:

let the angle of quadrilateral are 2x, 3x ,5xand 8x.

sum of all the angles of quadrilateral = 2x+ 3x+5x+8x

360°=18x.

x=360/18

x=20.

so, the angles are 2×20=40,3×20=60,5×20=100 and 8×20=160.

Answer 2

Given :

⬤ Angles of Quadrilateral are in the Ratio 2:3:5:8 .

To Find :

⬤ Angles of Quadrilateral .

Solution :

Let :

• Four angles of Quadrilateral be 2x , 3x , 5x and 8x .

As we know that , Sum of all Angles of Quadrilateral is 360 degree . Hence ,

$\bf{2x + 3x + 5x + 8x = 360^{\circ}}$

18x = 360

x = 360/18

x = 20

Therefore , The Value of x is 20 .

Hence ,

First Angle = 2x

= 2(20)

= 40

Second Angle = 3x

= 3(20)

= 60

Third Angle = 5x

= 5(20)

= 100

Fourth Angle = 8x

= 8(20)

= 160

Therefore , The Four Angles of Quadrilateral is 40° , 60° , 100° and 160° .