GMAT Quantitative Reasoning Practice Test 5

Question : 95 of 100

Marks: +1, -0

What is the measure of an interior vertex
angle of a pentagon?
(1) The measure of each adjacent exterior angle is 72.
(2) The pentagon is a regular polygon.

Statement (1), BY ITSELF, will suffice to solve the problem, but NOT statement (2) by itself.
Statement (2), BY ITSELF, will suffice to solve the problem, but NOT statement (1) by itself.
The problem can be solved using statement (1) and statement (2) TOGETHER, but not ONLY statement (1) or statement (2).
The problem can be solved using EITHER statement (1) only or statement (2) only.
The problem CANNOT be solved using statement (1) and statement (2) TOGETHER.

Validate

Solution:

Either statement is sufficient. Statement (1) is sufficient because if the measure of each adjacent exterior angle is 72, then the measure of the interior angle is

180 − 72 = 108

. Statement (2) is also sufficient. Regular polygons contain congruent sides and congruent angles. If the pentagon is made up of 540 degrees, then

540/5 = 108

in each angle.

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