SOLUTION: Two complementary angles differ by 14. Find the angles.

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Question 31559This question is from textbook Introductory Algebra
: Two complementary angles differ by 14. Find the angles. This question is from textbook Introductory Algebra

Answer by Fermat(136) About Me  (Show Source):
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Complementary angles are angles that add up to 90 deg.
In a right-angled triangle, the two smaller angles are called the complementary angles.
Since tehy are complementary, then their sum is 90.
Call the two angles A and B, then
A + B = 90
A - B = 14
add the eqns,
2A = 104
A = 52
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B = 38
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