Question

The angles in a quadrilateral are in the ratio 5:6:8:11.Find the angles of quadrilateral.​

Answer 1

Answer:

the angles are as follows...

Explanation:

LET THE ANGLES BE :-

5x

6x

8x

11x

THEN AS THE SIDES OF QUADRILATERAL = 360°

then•••••

5x + 6x + 8x + 11x = 360°

30x = 360°

x = 360°

____

30

x = 12°

Hence the angles are ••

5x = 5 x 12

= 60°

6x = 6 x 12

= 72°

8x = 8 x 12

= 96°

11x = 11 x 12

= 132°

this was the answer....

Answer 2

Given : angles of a quadrilateral are in ratio 5:6:8:11

To find : it's all angles

Solution:

Let the angles of the quadrilateral be = 5x , 6x, 8x, 11x

So as we know that,

Sum of all angles of the quadrilateral = 360°

So,

=> 5x + 6x + 8x + 11x = 360

=> 30x = 360

=> x = 360/30

=> x = 12°

Therefore,

Angles of the quadrilateral are :-

• 5x = 5×12 = 60°
• 6x = 6×12 = 72°
• 8x = 8×12 = 96°
• 11x = 11×12 = 131°