SOLUTION: Josie is making a pattern for quilt pieces. One pattern is a right triangle with two acute angles that are complementary. The measure of one of the acute angles is to be 12 degrees

Question 530917: Josie is making a pattern for quilt pieces. One pattern is a right triangle with two acute angles that are complementary. The measure of one of the acute angles is to be 12 degrees more than half the measure of the other acute angle. Find the measure of each angle of the triangle.
Found 2 solutions by stanbon, MathTherapy:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Josie is making a pattern for quilt pieces. One pattern is a right triangle with two acute angles that are complementary. The measure of one of the acute angles is to be 12 degrees more than half the measure of the other acute angle. Find the measure of each angle of the triangle.
----------------------------
1st: x
2nd: (x/2)+12
-----
Equation:
x + (x/2) + 12 = 90
(3/2)x = 88
-----
x = (2/3)88
x = 58 2/3 degrees
(x/2)+12 = 41 1/3 degrees
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Cheers,
Stan H.
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Answer by MathTherapy(10555) (Show Source): You can put this solution on YOUR website!
Josie is making a pattern for quilt pieces. One pattern is a right triangle with two acute angles that are complementary. The measure of one of the acute angles is to be 12 degrees more than half the measure of the other acute angle. Find the measure of each angle of the triangle.

Let the 1st angle be F
Then the other is (90 � F), since this is a right-triangle, and both are complementary

We therefore have: F = �(90 � F) + 12

2F = 114 � F ----- Multiplying by LCD, 2

3F = 114

F, or 1st angle = , or

2nd angle = ()

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