Question

The four angles of a quadrilateral are in the ratio 2:3:6:7.Find the angles
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Answer 1

Step-by-step explanation:

Sum of quadrilateral=360°

2x+3x+6x+7x=360°

18x=360°

x=360÷18

x=20°

2x=2×20

=40°

3x=3×20

=60°

6x=6×20

=120°

7x=7×20°

=140°

Verification

40°+60°+120°+140°=360°

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Answer 2

Answer:

let all the angles be 2x,3x,6x and 7x.

As we know sum of all angles of a quadrilateral is 360°

Adding all the angles,we get

2x+3x+6x+7x=360°

18x=360°

x=360°/18

x=20°

Value of x is 20.

now,

1st angle=2x=2×20=40°

2nd angle=3x=3×20=60°

3rd angle=6×20=120°

4th angle=7×20=140°

Verification==

40°+60°+120°+140°= 360°

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