Question

The angles of a quadrilateral are in ratio 3 ratio 5 ratio 9 ratio 13 ratio find all the angles of a quadrilateral

Answer 1

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$\underline\bold{\huge{SOLUTIONS:\: :}}$

The ratio of all the angles are 3:5:9:13

So, lets their respective angles be 3x,5x

9x,and 13x.

So, their total sum of angles is 3x+5x+9x

+13x=30x

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

So, 30x=360°

=>X=360/30

=>X=12°

Now replace the value of X by 12 in their

respective angles.

3×12,5×12,9×12,×13×12

$\underline\bold{So,\: All \:the angles\: are\: 36°\: 60°\:108°\:156°}}$

Answer 2

Let the angle be 3x,5x,9x,and 13x

We know that the sum of quad is 360

Then,

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

=30x=360

X=12

Then the required angles are

3x=3×12=36

5x=5×12=60

9x=9×12=108

13x=13×12= 156

ANGLES ARE 36,60,108 and 156 ANS


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