Question

Two adjacent sides of a parallelogram are in the ratio 1:5 . Find all the angles of the parallelogram.

the 1st ans will be marked as brainliest.​

Answer 1

Answer:

Let one angle by x

And the other be 5x.

As opposite angles are equal,

Another angle is x, and another is 5x.

Using Angle Sum Property of a Quadrilateral,

x + 5x + x + 5x = 360

12x = 360

x = 360/12

x = 30

5x = 5 x 30 = 150

The angles are 30, 150, 30 and 150

PS.

It can also be solved using the property that adjacent angles of a parallelogram are supplementary

So,

x + 5x = 180

6x = 180

x = 30.

And so on.

Answer 2

Step-by-step explanation:

Given that the ratio of measures of two adjacent angles of a parallelogram= 1 : 5

If one ∠ is x other would be 180 – x as the adjacent ∠s of a parallelogram are supplementary.

(x/180-x)=1:5

so one angle will be 30°

Other ∠ is 150° .

So angles will be 30°,150°,30°,150°