Question

. Angles of a quadrilateral are in the ratio 3:4:4:2 Find all the angles of the quadrilateral​

Answer 1

. Angles of a quadrilateral are in the ratio 3:4:4:2 Find all the angles of the quadrilateral

Answer 2

Answer:

83°,111°,111°,55°

Step-by-step explanation:

We know that the sum of all the angles of quadrilateral is 360°

So, let the angles be 3x,4x,4x and 2x

Therefore

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

13x = 360

x = 360/13

x = 27.69

Putting the value of x in each angle

3x = 3× 27.69 4x = 4×27.69

= 83.07 = 110.76

4x = 4×27.69 2x = 2×27.69

= 110.76 = 55.38

Taking out the approximate value of all the angles

83° , 111° , 111° , 55° .