Question

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

Answer 1

Step-by-step explanation:

Let the ratio of angles be x.

We know, that the sum of all angles of a quadrilateral is 360°

Therefore,

4x + 3x + 4x + 7x = 360°

18x = 360°

x = 20°

Largest angle = 7x

= 140°

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Answer 2

Step-by-step explanation:

4x + 3x + 4x + 7x = 360°

18x = 360°

X = 360/18

X = 20

measurements of angle of a quadrilateral:

4x = 4×20 = 80

3x = 3×20 = 60

4x = 4×20 = 80

7x = 7×20 = 140

hence the largest angle of the quadrilateral is 140.