SOLUTION: The second angle in a triangle is one and a half times the measure of the first. The third is 15 degrees more than half the first angle. What are the measures of each of the angl

Question 344496: The second angle in a triangle is one and a half times the measure of the first. The third is 15 degrees more than half the first angle. What are the measures of each of the angles in the triangle.
Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
Let A be the first angle:
The Questions States the following to be true:
Second angle = 3/2A
Third angle = A/2 + 15
sum of the Angles in a Triangle is 180:

Simplify by mutilplying each term by 2

Combine like terms and Solve:
First Angle
Second = 82 1/2 (165/2)
Third = 42 1/2 (85/2)
Check Your Answer:
55 + 82 1/2 + 42 1/2 = 180

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