SOLUTION: The measure of one acute angle of a right triangle is 12 more than 3 times the measure of the other acute angle. Find the measure of each acute angle of the right triangle.

Question 1059045: The measure of one acute angle of a right triangle is 12 more than 3 times the measure of the other acute angle. Find the measure of each acute angle of the right triangle.
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
1) A right triangle has one right angle, meaning it has one angle that measures 90 degrees.
2) The sum of the angles of EVERY triangle is 180 degrees
Since we are dealing with a right triangle, we know one angle is 90. Add the other two. Call the angles A, B, C, and let's say that B is the 90 degree angle:
A+B+C = 180
A+3A+12+90 = 180
A = 19.5
and
C = 19.5*3+12 = 70.5
--------------------
Check:
19.5+(3*19.5+12)+90 = 180 Correct
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