Question

8. If the angles of a quadrilateral are in the ratio of 4:3:4:7, find the largest angle

of the quadrilateral.​

Answer 1

Answer:

140

Step-by-step explanation:

3x+4x+4x+7x=360 (sum of all the angles of a quadrilateral)

18x=360

x=20

Therefore each angle of the quadrilateral is of 60,80,80,140.

Largest angle is = 140

I hope it will help you:)

Answer 2

Answer: 140 degree

Step-by-step explanation:

Let the four interior angles be 4x, 3x, 4x, & 7x

Therefore,

4x + 3x + 4x + 7x = 360

18x = 360

x = 360/18

x = 20

Hence their interior angles are:-

4x = 4 x 20 = 80

3x = 3 x 20 = 60

4x = 80

7x = 7 x 20 = 140

(check: all angles should be 360 if added. Therefore, 80 + 60 + 80 + 70 = 360. Hence, our values are correct)

ATQ, Largest angle of quadrilateral = 140 degree