SOLUTION: The Angles of a triangle are in a ratio of 2:3:5. find The measure of each angle( hint: remember the Angles in a triangle add up to 180 degrees)

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Question 1207177: The Angles of a triangle are in a ratio of 2:3:5. find The measure of each angle( hint: remember the Angles in a triangle add up to 180 degrees)
Found 2 solutions by ikleyn, MathLover1:
Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

The angles are 2x, 3x and 5x degrees.


    2x + 3x + 5x = 180 degrees

         10x     = 180

           x     = 180/10 = 18 degrees


ANSWER.  The angles are  2*18 = 36, 3*18 = 54 and 5*18 = 90 degrees.

Solved and explained, in full.



Answer by MathLover1(20849) About Me  (Show Source):
You can put this solution on YOUR website!


alpha+%3A+beta+%3A+gamma=2%3A3%3A5

2%2B3%2B5=10
180%2F10=18
alpha=2%2A18=36
beta=3%2A18=54
gamma=5%2A18=90
check their sum:
36%2B54%2B90=180=>true