Question 256495
"An angle is half the size of its compliment. What is the measure of the larger angle." 
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Let the angle be "x".
Its complement is 90-x
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Equation:
x = (1/2)(90-x)
x = 45 - (x/2)
(3/2)x = 45
x = 30 degrees
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The complement is 90-30 = 60 degrees.
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Cheers,
Stan H.