SOLUTION: one angle of a triangle is 5 degrees greater than the smallest angle, and the third angle is 45 degrees less than than twice the smallest angle. what is the measurements of the thr

Question 221031: one angle of a triangle is 5 degrees greater than the smallest angle, and the third angle is 45 degrees less than than twice the smallest angle. what is the measurements of the three angles?
Answer by drj(1380) (Show Source): You can put this solution on YOUR website!
one angle of a triangle is 5 degrees greater than the smallest angle, and the third angle is 45 degrees less than than twice the smallest angle. What is the measurements of the three angles?

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

Step 2. Let x be the smallest angle.

Step 3. Let x+5 be the angle that is 5 degrees greater than the smallest angle.

Step 4. Let 2x-45 be twice the smallest angle.

Step 5. Then, . Solving yields,

Add 40 to both sides of the equation yields

Divide by 4 to both sides of the equation

. Then and

Check 55+65+60=180 which is a true statement.

Step 6. The angles are 55, 65 and 60.

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
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