Question 441210
There are two complementary angles. The larger angle is 15 degrees more than twice the smaller angle. Fine the measure of each angle.
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The key is to remember that two angles that are complementary add up to 90 degrees.
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Let x = smaller angle
then
2x+15 = larger angle
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x + 2x+15 = 90
3x+15 = 90
3x = 75
x = 25 degrees (smaller angle)
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larger angle:
2x+15 = 2(25)+15 = 50+15 = 65 degrees