SOLUTION: Prove the following theorem: The acute angles of a right triangle are complementary. given: triangle ABC WITH RIGHT ANGLE C PROVE: ANGLE A AND ANGLE B are complementary.

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Question 399010: Prove the following theorem: The acute angles of a right triangle are complementary. given: triangle ABC WITH RIGHT ANGLE C PROVE: ANGLE A AND ANGLE B are complementary.
Answer by richard1234(7193) About Me  (Show Source):
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The measures of all the angles in a triangle add up to 180, so

m(A) + m(B) + m(C) = 180. Since m(C) = 90, then

m(A) + m(B) + 90 = 180

m(A) + m(B) = 90, hence they're complementary.