Question

Two adjacent angle of a parallelogram are in the ratio 6:4. Find the measure of each of the angle of the parallelogram.​

Answer 1

Answer:

108:72

Step-by-step explanation:

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Answer 2

Given -

Ratio of adjecent angles = 6 : 4

To find -

Measure of each angles.

Formula used -

Angle sum property of parallelogram.

Solution -

In the question, we are provided with the ratio of adjecent sides of a parallelogram, and we need to find the measure of each angle. As we know that opposition sides of a parallelogram is equal, so we will take every angle same and their sum is equal to 360°. So, we will use angle sum property of the quadrilateral.

So -

Let the angles be 6x, 4x and 6x, 4x

Sum = 360°

Now -

We will add up, all the angles, and will put it equal to 360°. And then we will find the value of x.

On substituting the values -

[tex]

6x+4x+6x+4x=360°

20x=360°

x=

20

360°

x=18°

\therefore∴ \bf{x\:=\:18\degree}x=18°