Question

The measure of the angles of the quadrilateral ABCD are in the ratio 2:3:4:1 . Determine the type of quadrilateral. ​

Answer 1

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Answer 2

Answer:

let the angles be 2x, 3x, 4x ,1x

Now,

We know that,

Sum of all angles of quadrilateral = 360°

2x+3x+4x+x = 360

10x = 360

x= 36

Now,

1st angle = 2x =2×36 = 72°

1st angle = 2x =2×36 = 72° 2nd angle = 3x = 3×36 = 108°

1st angle = 2x =2×36 = 72° 2nd angle = 3x = 3×36 = 108° 3rd angle = 4x = 4×36 = 144°

4th angle = x = 36°

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