Question

Angles of a qadrilateral are in ratio 3:4:4:7 find all angles of the quadrilateral

Answer 1

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Answer 2

Step-by-step explanation:

Given :-

All angles are given in ratio

3 : 4 : 4 : 7

Solution :-

Let the ratios be 3x , 4x , 4x, 7x

As we know that,

The sum of angles of quadrilateral = 360°

Therefore,

3x + 4x + 4x + 7x = 360°

18x = 360°

x = 360°/18

x = 20°

The value of x = 20°

Therefore,

3x = 3 * 20 = 60°

4x = 4 * 20 = 80°

4x = 4 * 20 = 80°

7x = 7 * 20 = 140°

Hence, The four angles of

quadrilateral are 60° , 80° , 80°

and 140° ..

A quadrilateral is a four sides closed figure.

Examples of quadrilateral are square, Rectangle , parallelograms etc.

Sum of angles of quadrilateral = 360°