Question

15. Angles of a quadrilateral are in the ratio 3:4:4:7. Find all the angles of the quadrilateral
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Answer 1

Answer:

60, 80, 80, 140

Step-by-step explanation:

Let the ratio terms be 3x, 4x, 4x and 7x

Sum of all angles of a Quadilateral= 360°

therefore,

3x+4x+4x+7x = 360°

18x = 360°

x = 360°/18

x = 20

ANGLES ARE 60 ,80 ,80 ,140

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

Hence, The four angles ofquadrilateral are 60° , 80° , 80°

Hence, The four angles ofquadrilateral 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°