SOLUTION: In an isosceles triangle the vertex angle measures 35 degrees. One base angle measures (x+5), what is the measure of the base angles?

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Question 1130242: In an isosceles triangle the vertex angle measures 35 degrees. One base angle measures (x+5), what is the measure of the base angles?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
Sum of the interior angles measures must be 180 degrees. The two base angles have the same measure;

2%28x%2B5%29%2B35=180+
Solve and then evaluate x+5.

Answer by ikleyn(52776) About Me  (Show Source):
You can put this solution on YOUR website!
.
Each of the two base angles has the measure of  %28180%5Eo-35%5Eo%29%2F2 = 145%5Eo%2F2 = 72.5° degrees = 72 degrees and 30 minutes = 72° 30'.


It is based on two facts:

    a)  the sum of a triangle interior angles is 180°,    and

    b)  in isosceles triangle the base angles are congruent.


Aside notice:   If one base angle is  (x+5)  degrees,  then the other base angle has  THE SAME  degree measure of  (x+5).

The formulation in your post is slightly illogical / (allogical).