Quantitative Literacy Practice Exam 2025 – Comprehensive Preparation Guide

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Question: 1 / 400

If the measure of an interior angle of a regular polygon is 150°, how many sides does the polygon have?

To determine the number of sides in a regular polygon given the measure of an interior angle, we can use the formula for the measure of an interior angle:

\text{Interior Angle} = \frac{(n-2) \times 180^\circ}{n}

where $ n $ is the number of sides in the polygon.

In this case, the interior angle is 150°. Setting up the equation:

150^\circ = \frac{(n-2) \times 180^\circ}{n}

To eliminate the fraction, we can multiply both sides by $ n $:

150n = (n-2) \times 180

Expanding the right side gives:

150n = 180n - 360

Now, we can rearrange the equation to isolate $ n $:

360 = 180n - 150n

This simplifies to:

360 = 30n

Dividing both sides by 30 yields:

n = 12

Thus, the polygon has 12 sides. A regular polygon with an interior angle of 150° will have

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