Question

If the angles of a quadrilateral are in the ratio 5: 8: 11: 12, find the smallest angle.

Answer 1

Step-by-step explanation:

let the angles of a quadrilateral be x

1st angle=5x

2nd angle =8x

3rd angle=11x

4th angle=12x

THEN,

5x+8x+11x+12x=360°

36x=360°

x=360/36

x=10°

NOW,

1st angle=5x=5×10=50°

2nd angle =8x=8×10=80°

3rd angle=11x=11×10=110°

4th angle =12x=12×10=120°

Therefore, the angle of quadrilateral are 50°,80°,110° and 120°

and smallest angle is 50°

Answer 2

We know that the sum of interior angles in quadrilateral is 360 so according to the question we will take

5=5x

8=8x

11=11x

12=12x

From adding

5x+8x+11x+12x=360

36x=360

x=10

So,

5x=50

8x=80

11x=110

12x=120

The smallest angle is 50 degree

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