SOLUTION: Two complementary angles are in the ratio 2:7. Find the angles.

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Question 1120964: Two complementary angles are in the ratio 2:7. Find the angles.
Answer by ikleyn(52835) About Me  (Show Source):
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According to the condition,  the angles are  2x  and  7x,  where "x" is their common measure.


Hence,  2x + 7x = 90 degrees,   or  9x = 90 degrees, which implies  x= 10 degrees,


and the angles are  20 degrees  and  70 degrees.