How do I determine the number of degrees in one of the base angles if the vertex angle is 34+7x, and the number of the degrees in the interior of the triangle is 180-10x? (The triangle is isosceles)

Question

The original question is, “The vertex angle of an isosceles triangle is 34+7x. The number of degrees in the interior of the triangle is 180-10x. Determine the number of degrees in one of the base angles.”

Please answer asap! Thanks so much!!

Answer 1

I am always uneasy when the numbers in a problem don't work out easily!

The 3 angles in the triangle are 34+7x, 180-10x and 180-10x. and the sum of those angles must be 180.

34+7x+360-20x=180

13x=214

You take it from here!