Question

1. The angles of quadrilateral are in the ratio 3:59: 13. Find all the angles of the
quadrilateral.
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Answer 1

As - total angle of quadrilateral=360°.

So,

Let angle are- 3x, 59x and 13x.

So,

3x+59x+13x=360°

75x=360°

x=360°/75

x=24/5

So, when x=24/5.

(3x)=72/5

(59x)=(24/5)*59

(13x)=(24/5)*13

Answer 2

Step-by-step explanation:

$ratio = > \: \: 3:5:9:13$

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

$(angle \: sum \: property \: of \: quadrilateral)$

$30x = 360$

$x = \frac{360}{30} = \frac{36}{3} = 12$

$angles \: are \: \\ => 3x = 3(12) = 36 \\ = > 5x = 5(12) = 60 \\ = > 9x = 9(12) = 108 \\ = > 13x = 13(12) = 156$

hope it's helpful