# In the parallelogram shown, what is…

# Solution:

We are given a parallelogram with three given angles. Let’s sketch the diagram below.

Since we have a parallelogram we know that opposite angles are equal and that the angles sum to 360°.

Thus, x = z and

y + y + x + x = 360

2y + 2x = 360

y + x = 180

We must determine the value of x.

**Statement One Alone: **

y = 2x

Using the information from statement one we can substitute 2x for y in the equation y + x = 180. Thus we have:

2x + x = 180

3x = 180

x = 60

Statement one alone is sufficient to answer the question. We can eliminate answer choices B, C, and E.

**Statement Two Alone: **

x + z = 120

Since x = z, we know:

x + x = 120

2x = 120

x = 60

Statement two is sufficient to answer the question.

**Answer: D **