SOLUTION: One acute angle of a right triangle is 5 times as large as the other. How
many degrees are there in each angle? Hint: Either of the angles, not the
right angle, is called an acut
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Question 250554: One acute angle of a right triangle is 5 times as large as the other. How
many degrees are there in each angle? Hint: Either of the angles, not the
right angle, is called an acute angle in the right triangle.
Found 2 solutions by stanbon, richwmiller:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
One acute angle of a right triangle is 5 times as large as the other. How
many degrees are there in each angle?
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The acute angles of a right triangle are complementary.
-----------------------
Let one of the acute be "x":
The other is "5x":
Equation:
x + 5x = 90
6x = 90
x = 15 degrees
5x = 75 degrees
====================
Cheers,
Stan H.
Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
a+b=90
a=5b
substitute 5b for a in the first equation
5b+b=90
solve for b and then substitute b in either of the original equations and solve for a
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