SOLUTION: The second angle of a triangle is fifty less than four times the first angle. The third angle is forty less than the first. Find the measures of the three angles.

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Question 215983: The second angle of a triangle is fifty less than four times the first angle. The third angle is forty less than the first. Find the measures of the three angles.
Answer by drj(1380) About Me  (Show Source):
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The second angle of a triangle is fifty less than four times the first angle. The third angle is forty less than the first. Find the measures of the three angles.

Step 1. Let x be the first angle and 4x means 4 times the first angle.

Step 2. Let 4x-50 be the second angle

Step 3. Let x-40 be the third angle.

Step 4. Sum of the angles in a triangle is 180 degrees.

Step 5. Adding up the three angles is x%2B4x-50%2Bx-40=180. Solving yields the following steps.

x%2B4x-50%2Bx-40=180

6x-90=180

Add 90 to both sides of the equation

6x-90%2B90=180%2B90

6x=270

Divide 6 to both sides of the equation

6x%2F6=90%2F6

x=45

Then 4x-50=180-50=130 and 45-40=5.

Step 6. ANSWER. The angles of the triangle are 45, 130, and 5.

Note=45+130+5=180 which is a true statement.

I hope the above steps were helpful.

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Good luck in your studies!

Respectfully,
Dr J