Question

The measure of angle of quadrilateral AND are in the ratio 2:3:4:1 . find the angle and hence determine the type of quadrilateral

Answer 1

Ratio of angles of the quadrilateral=2:3:4:1.
We know that sum of angles of a quadrilateral is 360°.
Therefore,
Let the angles be x°.
Now,
2x+3x+4x+x=360°
10x=360°
x=36°
Therefore 1^st angle = 2x = 2*36=72°
2^nd angle=3x=3*36=108°
3^rd angle=4x=4*36=144°
4^th angle= x=36°.

Answer 2

Hiiii.......

We know that the sum of all the angles of a quadrilateral = 360*

Let's consider 1 unit as x.

Now,

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

10x = 360

Therefore,

x = 36*.

So,

Angles of the quadrilateral are
3× 36 = 108* ;
4× 36 = 144* ;
2 × 36 = 72* &
1 × 36 = 36*
...........ANS

So, it is an IRREGULAR QUADRILATERAL.

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