1.

The measure of an angle of a pertologram 1 timethan its odjacent angle Find the measure of eachangles​

Answer»

Step-by-step explanation:

Hello,

We know that parallelogram is a MATHEMATICAL figure in which all the opposite SIDES are parallel and equal.

Also,

The opposite angles are equal to each other.

Also,

One more property

SUM of The adjacent angles of parallelogram is equal to 180

In other words

The sum of the Co interior angles is 180 degrees.

Now,

We will use these properties to obtain the answer.

Let the angle of the parallelogram be x

So,

The adjacent angles will be x+30

Now

From am of co interior angles we get

$$\BEGIN{lgathered}x + x + 30 = 180 \\ \\ 2x = 180 - 30 \\ \\ 2x = 150 \\ \\ x = \frac{150}{2} = 75\end{lgathered}$$

So,

The angle of the parallelogram is 75 degrees

And,

The adjacent angles of the parallelogram is 75+30 = 105 degrees.

Hope it helps U frnd



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