Question

The four angles of a quadrilateral are in the ratio 3:4:6:7.find the angles​

Answer 1

Answer:

So the angles of the Quadrilateral are 54° , 72° , 108° , 126°

Step-by-step explanation:

We Have :-

Ratio of Angles of a Quadrilateral = 3 : 4 : 6 : 7

To Find :-

Angles

Solution :-

Sum of all angles of a quadrilateral = 360°

Let the angles be

3x

4x

6x

7x

3x + 4x + 6x + 7x = 360

20x = 360

x = 18

So the angles are

3x = 3 * 18 = 54°

4x = 4 * 18 = 72°

6x = 6 * 18 = 108°

7x = 7 * 18 = 126°

So the angles of the Quadrilateral are 54° , 72° , 108° , 126°

Answer 2

In a quadilateral the angles add up to  360o

 the angles  are 3x,4x,5xand6x

Then:3x+4x+5x+6x=360

18x=360

x=20

Then the angles are 3*20, 4*20, 5*20,6*20

=60 degree,80degree,100 degree,120 degree