SOLUTION: two angles of a right triangle are complementary and are in the ratio of 1:2 What are the measures of the three angles?
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Question 559122: two angles of a right triangle are complementary and are in the ratio of 1:2 What are the measures of the three angles?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
The 3 angles must add up to 180 degrees in
any triangle.
It is a right triangle, so 1 of the angles is 90 degrees
Call the other 2 angles and
(1)
--------------
given:
Multiply both sides by
(2)
Substitute (2) into (1)
(1)
(1)
(1)
and, since
(1)
(1)
(1)
The angles are 90, 60, and 30
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