SOLUTION: Each of the equal angles of an isosceles triangle measures 25 degree less than twice the vertex angle. Find the measure of the vertex angle.

Question 126611: Each of the equal angles of an isosceles triangle measures 25 degree less than twice the vertex angle. Find the measure of the vertex angle.
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
If the vertex angle is x, then the equal angles must be 2x - 25. The sum of the interior angles of any triangle is 180 degrees, so:

Collect terms:

So, the vertex angle is 46. Twice the vertex angle is 92. 25 less than that is 67, so the equal angles measure 67.

Check:
46 + 67 + 67 = 180. Check.
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