SOLUTION: Set up a system of two equations with two variables to solve this problem. The three angles in a triangle always add up to 180 degrees. If one angle in a triangle is 132 degrees an
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Question 226250: Set up a system of two equations with two variables to solve this problem. The three angles in a triangle always add up to 180 degrees. If one angle in a triangle is 132 degrees and the second is 5 times the third, what are the three angles? Answer by drj(1380) (Show Source):
You can put this solution on YOUR website! Set up a system of two equations with two variables to solve this problem. The three angles in a triangle always add up to 180 degrees. If one angle in a triangle is 132 degrees and the second is 5 times the third, what are the three angles?
Step 1. Let x be the third angle.
Step 2. Let y=5x since the second is 5 times the third.
Step 3. Let x+y+132=180 since all three angles add up to 180 degrees. We can rewrite this after subtracting 132 from both side of the equation as
Step 4. The system of equations are
Step 5. Substitute into to get }. Then
Divide by 6 to both sides of the equation
and . Also 132+8+40=180...as a check.
Step 6. ANSWER: The angles are 132, 8, and 40 degrees.
I hope the above steps were helpful.
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