SOLUTION: In triangle abc, the measure of angle b is ten more than angle a and an exterior angle at vertex c measures 120. What is angle a?

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Question 925040: In triangle abc, the measure of angle b is ten more than angle a and an exterior angle at vertex c measures 120. What is angle a?
Found 2 solutions by brysca, stanbon:
Answer by brysca(112) About Me  (Show Source):
You can put this solution on YOUR website!
solution posted below
.
hope this helps!

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
In triangle abc, the measure of angle b is ten more than angle a and an exterior angle at vertex c measures 120. What is angle a?
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The interior angle at "c" = 180-120 = 60 degrees
Let angle "a" be "x"
Then angle "b" is "x+10"
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Equation::
x + x+10 + 60 = 180
2x = 110
x = 55 degrees (measure of angle "a"
x + 10 = 65 degrees (measure of angle "b"
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Cheers,
Stan H.
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