SOLUTION: One angle of a triangle is 35 degrees greater than the smallest angle and the third angle is 15 degrees less than twice the smallest angle.Find the measures of the 3 angles.

Question 228468: One angle of a triangle is 35 degrees greater than the smallest angle and the third angle is 15 degrees less than twice the smallest angle.Find the measures of the 3 angles.
Found 2 solutions by drj, rfer:
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
One angle of a triangle is 35 degrees greater than the smallest angle and the third angle is 15 degrees less than twice the smallest angle. Find the measures of the 3 angles.

Step 1. The sum of the three angles for a triangle is 180 degrees.

Step 2. Let x be the smallest angle.

Step 3. Let x+35 be the second angle since it's 35 degrees greater than the smallest angle.

Step 4. Let 2x-15 be the third angle since it is 15 degrees less than twice the first.

Step 5. Then, since the sum of the angles is 180 degrees.

Step 6. Solving the equation yields the following steps

Subtract 20 from both sides of the equation

and . Note these three angles add up to 180 degrees as a check.

Step 6. ANSWER: The angles of the triangle are 40, 75, and 65 degrees.

I hope the above steps were helpful.

For FREE Step-By-Step videos in Introduction to Algebra, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra and for Trigonometry visit http://www.FreedomUniversity.TV/courses/Trigonometry.

Good luck in your studies!

Respectfully,
Dr J

Answer by rfer(16322) (Show Source): You can put this solution on YOUR website!
x+x+35+2x-15=180
4x+20=180
4x=160
x=40
x+35=75
2x-15=65
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