Question

Two adjacent angle of a paralleogram are in the ratio 1:5. Find all the angle of the parallelogram

Answer 1

let one angle be 1x
let the other angle be 5x
Adjacent angles of a parallelogram are supplementary.
so, 1x+5x = 180
6x=180
x = 30
one angle = 1×30=30
the other angle= 5×30 = 150
as Opposite angles are equal in a parallelogram,
all the angles are
30,150,30,150

Answer 2

Answer:

Two Adjacent Angles Of Parallelogram Are In The Ratio 1:5 , Had Now We Need To Find The all Angles...

Let ABCD Be The Parallelogram And Angles = A , B , C , D ( Let

A And B Be The Given Adjacent Angle )

According To Question

So Now Let

So We Have

A = 1x = X -- ( 1 )

B = 5x -- ( 2 )

Now According To Properties Of Parallelogram We Know That

Therefore We Have ➡️

A + B = 180° -- ( 3 )

That Is

X + 5x = 180°

6x = 180°

Now Taking 6 to RHS We Have ➡️

X = 180° ÷ 6

Therefore We Have

So Now Putting Values Of X In EQ 1 And 2 We Have

A = X = 30°

B = 5x  5 × 30° = 150°

Now We Know That Opposite Angles Of Parallelogram Are Equal Therefore Here

A = C ,  B = D

So Now Putting Obtained Values of A And Be We Have ➡️

A = 30° =  C

B = 150° =  D

Step-by-step explanation: