Question

The angles of quadrilateral are in ratio 3:5:8:15.Find all the angles of the quadrilateral...?​

Answer 1

Answer:

The angles of Quadrilateral are 34.83° , 58.05° , 92.88° , 174.15°

Step-by-step Explanation :

Given : The angles of quadrilateral are in ratio 3:5:8:15

To find : The Angles of quadrilateral = ?

Let us consider that, the angles of Quadrilateral are ∠A = 3x , ∠B = 5x , ∠C = 8x and ∠D = 15x.

But we know that,

Sum of all angles of Quadrilateral = 360°

So,

∠A + ∠B + ∠C + ∠D = 360°

Substituting the value we get,

3x + 5x + 8x + 15x = 360°

31x = 360°

x = 360/31

x = 11.61

∴ ∠A = 3x = 3 × 11.61 = 34.83°

∠B = 5x = 5 × 11.61 = 58.05°

∠C = 8x = 8 × 11.61 = 92.88°

∠D = 15x = 15 × 11.61 = 174.15°

Hence the angles of Quadrilateral are 34.83° , 58.05° , 92.88° , 174.15°