Question

The angles of a quadrilateral are in the ratio of 1:2;3:4.Find the measure of each angle.

#Seenu bhai only

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Answer 1

Answer:

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now the angles that are in ratio of 1: 2: 3: 4, can be written as x, 2x, 3x and 4x in degrees. Here the angles are in clockwise order. The figure can be as follows: Now, it is very well known that the sum of all the interior angles of the quadrilateral is 360 degrees.

Answer 2

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Given

The angles of a quadrilateral are in the ratio of 1:2:3:4

So the Angles will be 1x , 2x , 3x and 4x

Now as we all know the sum of angles of the Quadrilaterals is 360°

hence , 1x + 2x + 3x + 4x = 360

10x = 360

x = 360 /10

x = 36

x= 36°

now , angles of the quadrilateral

1x = 1 × 36 = 36

2x = 2×36 = 72

3x = 3 × 36 = 108

4x = 4 × 36 = 144

Hope it helps you

~Mahi✓