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?

Algebra.Com
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(39617)   (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;


Solve and then evaluate x+5.
Answer by ikleyn(52777)   (Show Source): You can put this solution on YOUR website!
.
Each of the two base angles has the measure of   =  = 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).


RELATED QUESTIONS

the vertex angle of an isosceles triangle measures 80 degrees. what is the measure of... (answered by solver91311,richwmiller)
The vertex of an isosceles triangle measures 80 what is the measure of each base... (answered by Alan3354)
What is the measure of each base angle of an isosceles triangle if it's vertex angle... (answered by josgarithmetic)
What is the measure of the vertex angle of an isosceles triangle if one of the base... (answered by Cromlix)
what is the measure of the vertex angle of an isosceles triangle if one of its base... (answered by stanbon)
What is the measure of the vertex angle of an isosceles triangle if one of its base... (answered by Alan3354)
[ What is the measure of a base angle of an isosceles triangle if the vertex angle... (answered by TimothyLamb)
What is the measure of each base angle of an isosceles triangle if its vertex angle... (answered by Fombitz)
What is the measure of each base angle of an isosceles triangle if its vertex angle... (answered by jim_thompson5910)