Question

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

Answer 1

Answer:

Let angle in the ratio 3:5:9:13 be a,b,c,d

Let a=3x,b=5x,,c=9x,d=13x

where x is any number

We know that

Sum of angle of quadrilateral is 360

o

a+b+c+d=360

o

[Angle sum property of quadrilateral]

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

o

30x=360

o

x=

30

360

o

x=12

o

Hence the angles are

a=3x=3×12

o

=36

o

b=5x=5×12

o

=60

o

c=9x=9×12

o

=108

o

d=13x=13×12

o

=156

o

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