SOLUTION: The angles of a triangle measure 2x, 3x + 20, and 5x - 10. Find the measure of each angle and then classify the triangle as acute, right, or obtuse and explain why.

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Question 260860: The angles of a triangle measure 2x, 3x + 20, and 5x - 10. Find the measure of each angle and then classify the triangle as acute, right, or obtuse and explain why.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Since it's a triangle the angles sum to 180.
2x%2B3x%2B20%2B5x-10=180
10x%2B10=180
10x=170
x=17
2x=34, acute angle, less than 90.
3x%2B20=51%2B20=71, acute angle, less than 90.
5x-10=85-10=75, acute angle, less than 90.