Question

The angles of a quadrilateral are in the ratio 2:3:6:7 the longest angle of the quadrilateral is​

Answer 1

Step-by-step explanation:

let angles be x :-

2x ,3x,6x ,7x

as we know that sum of angle of quadrilateral is 360°

so,

2x+3x+6x+7x = 360°

5x+13x=360°

18x = 360°

x = 360/18

x = 20°

so angles are :- 2x=2×20 =40

3x=3×20=60

6x=6×20=120

7x=7×20 =140

so the longest angle is 140° ☺

Answer 2

Answer:

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Step-by-step explanation:

let the angle of a quadrilateral be 2x, 3x, 6x and 7x.

Therefore, 2x + 3x + 6x + 7x = 360° [sum of all angles of a quadrilateral is 360°]

18x = 360°

x = 360/18

Therefore, x = 20°

Since, the longest angles of the quadrilateral is 7x.

Therefore, 7x = (7 × 20°) = 140°

Hence the longest angle of the quadrilateral is 140°

(Ans)