# Solutions

Get detailed explanations to advanced GMAT questions.

### Question

The logo of a certain corporation is in the shape of a polygon, where all angles of a the polygon have equal measures. In the above figure V is one vertex of the polygon. If Y in degrees is the measure of an angle of the polygon and y=5x how many sides does the polygon have?

Option A:

5

Option B:

6

Option C:

10

Option D:

12

Option E:

30

### Difficulty Level

Hard### Solution

Option D is the correct answer.

### Option Analysis

From the figure,

x + y = 180

6*x = 180

x = 30, y = 150

Let number of sides be “n”, hence number of interior angles is also “n”

Sum of all interior angles = 150*n

Formula for sum of interior angles

= 180*(n-2) 180*(n-2) = 150*n

30*n = 360

n = 360/30 = 12

### Related Questions

- Which of the following is equivalent to ((a+b)/2)+ ((a-b)/3)?

- If 2s > 8 and 3t < 9, which of the following could be the value of s-t?

- In the triangle above, is x > 90?

- Maria can either buy a basket that contains P pounds of apples for $16.50 or buy p pounds of apples…

- Kay began a certain game with x chips. On each of the next two plays, she lost one more than half…