SOLUTION: In a right triangle, one acute angle is 54degree more than twice the other. Find each acute angle.
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Question 39116
:
In a right triangle, one acute angle is 54degree more than twice the other. Find each acute angle.
Answer by
fractalier(6550)
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Let the smaller acute angle be equal to x.
The other one is then 54 + 2x.
If you add them together, they mus add to 90 degrees...so
x + (54 + 2x) = 90
3x + 54 = 90
3x = 36
x = 12 deg
54 + 2x = 78 deg