The measurement of the complement of an angle exceeds the measure of the angle by 25%. Find the measurement of the angle and its complement.
1 answer:
Let the angles be A and C <span>Complimentary angles, therefor </span> <span>A + C = 90 </span> <span>The measurement of the complement of an angle exceeds the measure of the angle by 25% (you used a % sign so I'll use % instead of degrees) </span> <span>C = 1.25A </span> <span>Substitute </span> <span>A + 1.25A = 90 </span> <span>2.25A = 90 </span> <span>A = 40º <----- </span> <span>C = 50º <----- </span> <span>------------------------------ </span> <span>If you meant 25º </span> <span>A + (A + 25) = 90 </span> <span>2A + 25 = 90 </span> <span>2A = 65 </span> <span>A = 32.5º </span> <span>C = 57.5º </span>
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