(Picture attached) Let m∠1 = 65 degrees and m∠7 = 115 degrees.

Is L parallel to M? Explain why.

Yes L is parallel to M because they are going the same direction on the graph.

Given:

The figure of a rhombus.

To find:

The value of x.

Solution:

We know that, if two lines intersect each other, then the vertically opposite angles are equal.

From the given figure it is clear that the diagonals intersect each other and construct two pairs of vertically opposite angles.

Since and are vertically opposite angles, therefore

Hence, the value of x is 95°.