Question

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

Step-by-step explanation:

first we should let the unknown angle be x so 3x,5x,9x and 13x

then, we will find the value of x

3x+5x+9x+13x=360(measure of all angle in quadrilateral)

30x=360

x=360/30

x=12

1st angle = 3x=3*12=36

2nd angle = 5x=5*12=60

3rd angle = 9x=9*12=108

4th angle = 13x= 13*12=156

For confirmation add these angle and if the sum is 360 then it is correct

Answer 2

Given :-

The ratio of the angles of a quadrilateral =3 : 5 : 9 : 13

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To find :-

All the angles of the quadrilateral = ?

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Solution :-

Let the angles of quadrilateral in the ratio be :-

A = 3x

B = 5x

C = 9x

D = 13x

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The sum of the angles af the quadrilateral = 360°

So,

A + B + C + D = 360°

3x + 5x + 9x + 13x = 360°

30x = 360°

$x = \frac{360°}{30}$

x = 12°

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The value of x = 12°

A = 3x = 3 × 12° = 36°

B = 5x = 5 × 12° = 60°

C = 6x = 9 × 12° = 108°

D = 13x = 13 × 12° = 156°

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