ISEE Quantitative Comparisons Question 148: Answer and Explanation

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Question: 148

1. The measure of an interior angle of a regular polygon with n sides is .

  • A. The quantity in Column A is greater.
  • B. The quantity in Column B is greater.
  • C. The two quantities are equal.
  • D. The relationship cannot be determined from the information given.

Correct Answer: B

Explanation:

The answer is B

Use the formula first to find the measure of an individual angle in the pentagon (call it p) and in the octagon (call it o). For the pentagon, p = = 108. For the octagon, o = = 135. The sum of the measures of five angles in the pentagon is 108 × 5 = 540. The sum the measures of the eight angles in the octagon is 135 × 8 = 1,080.

Use logic. As the sum of the measures of the angles in a rectangle is greater than the sum of the measures of the angles in a triangle, more sides means a greater sum of the measures of the angles.

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