one base angle of an isosceles triangle is 73 degrees. what is the measure of the vertex angle?

Question

one base angle of an isosceles triangle is 73 degrees. what is the measure of the vertex angle?

Answer 1

A property of an isosceles triangle is that both "base" angles have the same measurement.  So that means the other base angle is also 73 degrees.

 

All three angles in any triangle add up to 180 degrees.  The two base angles add up to 73 + 73 = 146 degrees.

 

This means the vertex angle would have to be 180 - 146 = 34 degrees.