SOLUTION: What is the measurement of each acute angle of a right triangle if they are represented as (2x + 10) and (3x + 20) degrees? thank you

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Question 172262: What is the measurement of each acute angle of a right triangle if they are represented as (2x + 10) and (3x + 20) degrees?
thank you
Answer by jojo14344(1502) About Me  (Show Source):
You can put this solution on YOUR website!
Let's see the Right Triangle:
drawing%28400%2C400%2C-1%2C6%2C-1%2C8%2Ctriangle%280%2C7%2C5%2C0%2C0%2C0%29%2Clocate%28.2%2C5.5%2C2x%2B10%29%2Clocate%283%2C1%2C3x%2B20%29%2Cline%280%2C0%2C0%2C.5%29%2Cline%280%2C.5%2C.5%2C.5%29%2Cline%28.5%2C.5%2C.5%2C0%29%2Cred%28locate%28.3%2C5%2C34%5Eo%29%29%2Cred%28locate%283.5%2C.8%2C56%5Eo%29%29%29
We know the sum of the angles is 180deg:
So, 2x%2B10%2B3x%2B20%2B90%5Eo=180%5Eo
5x%2B120=180
5x=180-120=60
cross%285%29x%2Fcross%285%29=cross%2860%2912%2Fcross%285%29
x=12%5Eo
So, 2%2A12%2B10=24%2B10=highlight%2834%5Eo%29
And, 3%2A12%2B20=36%2B20=highlight%2856%5Eo%29
check:
90%2B34%2B56=180
180%5Eo=180%5Eo
Thank you,
Jojo