SOLUTION: The degree measure of the vertex angle is (7x-9)o. The degree measure for each base angle is (2x-56)o. What is the value of base angle?

Question 903813: The degree measure of the vertex angle is (7x-9)o. The degree measure for each base angle is (2x-56)o. What is the value of base angle?
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I'm assuming this is an isosceles triangle.

Hint: The three angles are (2x-56), (2x-56), (7x-9) and these three angles add to 180 degrees

(2x-56) + (2x-56) + (7x-9) = 180

This is true for any triangle. We have two copies of (2x-56) because the base angles are congruent in any isosceles triangle.
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