SOLUTION: The first angle of a triangle is half the measure of the second angle. The measure of the third angle is 40 degrees more than 4 times the measure of the first. Find the measure of

Algebra ->  Angles -> SOLUTION: The first angle of a triangle is half the measure of the second angle. The measure of the third angle is 40 degrees more than 4 times the measure of the first. Find the measure of       Log On


   



Question 342985: The first angle of a triangle is half the measure of the second angle. The measure of the third angle is 40 degrees more than 4 times the measure of the first. Find the measure of each angle.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
For a triangle,
A%2BB%2BC=180
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.
.
A=B%2F2
B=2A
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.
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C=40%2B4A
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Substitute into the first equation,
A%2B2A%2B40%2B4A=180
7A%2B40=180
7A%2B140
highlight%28+A=20%29degrees
Then
B=2%2820%29
highlight%28+B=40%29degrees
.
.
C=40%2B4%2820%29
highlight%28+C=120%29degrees