<img src="asset:assets/questions/360f142c864c3e8b.gif"> <br/><br/>In the circle above, O is the center and points <em>P</em>, <em>Q</em>, <em>R</em>, <em>S</em>, <em>T</em>, <em>U</em>, <em>V, W, X </em>and <em>Y </em>are spaced equally on the circle. <br/><br/>What is the value of <em>d?</em>
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✓ Correct answer: D. 144You can eliminate choice A as a Clunker right away. 90 degrees would represent a perfect quarter of the circle. The angle labeled d° is between 90 and 180 degrees. (Remember, on geometry diagrams where you are not specifically told that the figure is not drawn to scale, you can assume that it is. When a figure is drawn to scale, you can make judgments about its measurements based upon the way things look.) Since a circle contains 360 degrees, the regions between each of the ten equally spaced points each contain 36°: 360° ÷ 10 = 36°. Since the angle labeled d° is composed of four of these regions, it measures 144°: 36° × 4 = 144°.
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