Answer:
The measure of the vertex angle will be 34°
Step-by-step explanation:
As isosceles triangle have two equals sides and two equals angle. The two equals angle are the base angles b. We know that the sum of the angle of a triangle is 180°:
v+b+b=180°
v+2b=180°
Where v is the vertex angle. If we know the value of the base angles is 73° then the remaing vertex angle will be calculated by solving for a in the equation above:
v=180°-2*73°
v=180°-146°=34°
