1. An isosceles triangle has a base angle measuring $32^\circ$. What is the measure in degrees of the vertex angle? ___
2. An isosceles right triangle has one $90^\circ$ angle and two equal acute angles. What is the measure of each acute angle in degrees? ___
3. Two interior angles of a triangle are $50^\circ$ and $110^\circ$. What is the measure in degrees of the third interior angle? ___
4. Is it possible for the vertex angle in an isosceles triangle to be obtuse?
5. An equilateral triangle has three equal angles. What is the measure of each angle in degrees? ___
6. A triangle has two angles measuring $131^\circ$ and $17^\circ$. Find the measure of the third angle in degrees. ___
7. A regular octagon is composed of eight identical isosceles triangles with their vertices at the center. What is the measure of each interior angle of the octagon in degrees? ___
8. Which statement explains why a triangle cannot have interior angles measuring $27^\circ$, $58^\circ$, and $103^\circ$?
9. In a right triangle, the largest angle is three times the smallest angle. What are the measures of the three angles?
10. Two angles of a triangle measure $23^\circ$ and $48^\circ$. What is the measure in degrees of the third angle? ___