SOLUTION: pythagorean theorem find the base angles of an isosceles triangle if the vertex angle is 70°41'

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Question 979953: pythagorean theorem find the base angles of an isosceles triangle if the vertex angle is 70°41'

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Pythagorean Theorem is not necessary for this isosceles triangle. Two angles are equal in measure and different in measure from the other (or vertex angle); and the sum of the angle measures is 180 degrees.

2x%2B70deg%2B41min=180deg
2x%2B70%2641%2F60=179%2660%2F60
2x=179%2660%2F60-70%2641%2F60
2x=109%2619%2F60
2x=6559%2F60
x=6559%2F120
x=54.658333%2Adegrees

This to nearest minute is 54 degrees 40 minutes.