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A circle is divided into three arcs in the ratio of 3:4:5. Find the measure of an inscribed angle that intercepts the largest arc.
If the ratio is 3:4:5 it's good to know what the ratio of one of those three to the total is. 3+4+5 = 12. So the "3" in 3:4:5 is actually 3/12th of a circle (that's 1/4th, a quarter!). What about the largest part? The "5" in 3:4:5 is actually 5/12th of a circle!
We know a circle has a total of 360 degrees. We need 5/12th of that. So we mulitply: 360 * 5/12 = 150 degrees.
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