SOLUTION: I'm trying to help my niece with an isoceles triangle question. It's been years and I have forgotten the formulas! The vertex is 20 degress larger than a base angle. What is the me

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Question 178000: I'm trying to help my niece with an isoceles triangle question. It's been years and I have forgotten the formulas! The vertex is 20 degress larger than a base angle. What is the measurement of each angle? Thank you!!
Found 2 solutions by stanbon, solver91311:
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
isoceles triangle question. It's been years and I have forgotten the formulas! The vertex is 20 degress larger than a base angle. What is the measurement of each angle?
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Let one of the base angles be "x" degrees.
Then the other base angle must also be "x" degrees.
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Since the sum of the three angles must be 180 degrees,
x + x + 20 = 180
2x + 20 = 180
2x = 160
x = 80 degrees
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Each base angle is 80 degrees
The vertex angle is 20 degrees.
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Cheers,
Stan H.

Answer by solver91311(24713) (Show Source):
You can put this solution on YOUR website!

Let one of the base angles be x. Then the other base angle must be x also. The vertex angle is 20 degrees larger, so it must be x + 20. We know the sum of the three interior angles of a triangle to be 180 degrees, so:

So the two base angles are degrees and the vertex angle must be degrees.