Question

if the adjacent angles of a parallelogram are in the ratio of 4:1 then find all the parallelogram

Answer 1

one side=4 
second side=1 
let the ration be (x)
I side=4x
II side=1x
A.T.Q
4x+1x=180
5x=180
x=180/5
x=36
I side=4*36=144
II side=1*36=36 ANS

Answer 2

Hi friend!!

Firsr of all let us recall some of the properties of parellellogram which are applicable to solve this problem.

1) Sum of all four angles of a parellellogram =360

2) Opposite sides of angles are equal.

Now let us solve it.

#Refer to the picture attatched.

#ln parellellogram ABCD ,angle A :angle B (adjacent angles)= 4:1(given)

#Thus angle A=4x (where x is a constant)=angle C (opposite angles)

#angle B=x=angle D (opposite angle)

# Now use angle sum property

#----> <A+<B+<C+<D=360

=4x+x+4x+x=360

10x=360

x=36

<A=<C=4x=4*36=144 degree

<B=<D=36 degree
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