Question

Find the measures in the parallelogram.5. Find m

Answer 1

So,

First of all, remember that:

- The sum of all the internal angles of a parallelogram is 360°.

- The opposite angles inside of a parallelogram are equal.

In this question, we have that:

The first thing we should notice is that the angle M measures also 125° since it is opposite to the angle P, whose measure is equal.

We can also say that the measures of the angles L and Q are equal.

Now, we could use the fact that the sum of all these internal angles is 360°:

`\begin{gathered} 125+125+L+L=360 \\ 250+2L=360 \\ 2L=360-250 \\ 2L=110 \\ L=55 \end{gathered}`

So, the measure of angle L is 55° and the measure of angle M is 125°.