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| Math Central | Quandaries & Queries |
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Question from Stephanie, a student: two angles are supplementary, one of the angles is 30 degrees more than double the other angle. find the first angle, the second angle the complement of the given angle. |
Stephanie,
Call then A and B. Supplementary means A+B = 180 degrees.
Now write the other condition "A is 30 degrees more than twice B" as an algebraic equation.
Now use the second equation to rewrite the first one without A.
Now solve the new equation for B.
Now find A and the complement of A. ("Complement" means the two angles add to 90 degrees.)
Good Hunting!
RD
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