Question

The angles of a quadrilateral are in ratio 3:5:9:13. Find all the angles of the quadrilateral.
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Answer 1

Answer:

The sum of the angles of the quadrilateral should equal 360°

So 3x + 5x + 9x + 13x = 360

30x = 360

x = 12

So angles are 36°, 60°, 108°, 156°

Answer 2

Answer:

The angles are 36°,60°,108°,156°

Step-by-step explanation:

Given,

The ratio of the angles of the quadrilateral are; 3:5:9:13

So let the 4 angles be a,b,c and d

a=3x; b=5x; c= 9x; d=13x

Sum of the angles of a quadrilateral= 360°

So, the sum of all these angles must be equal to 360°

= 3x+5x+9x+13x = 360°

= 30x = 360°(Transposing 30 to the right side it's sign changes from '×' to '÷')

 x = 360/30 = 12°

We got to know the value of 'x' here. That is 12°

So know the first angle is 3x = 3*12(x = 12)

= 36°

Second angle is 5x = 5*12 = 60°

Third angle is 9x = 9*12 = 108°

Fourth angle is 13x = 13*12 = 156°

∴All the angles of the quadrilateral are 36°,60°,108°,156°.