1. In a triangle, two interior angles measure $35°$ and $75°$. The exterior angle adjacent to the third interior angle measures ___°.
2. An exterior angle of a triangle measures $135°$. One of the two remote interior angles measures $72°$. What is the measure of the other remote interior angle?
3. An interior angle of a triangle measures $48°$. What is the measure of its adjacent exterior angle?
4. In triangle $ABC$, $m\angle A = 55°$ and $m\angle B = 45°$. The exterior angle at vertex $C$ measures ___°.
5. Which statement correctly describes the Exterior Angle Theorem?
6. Two parallel lines $m$ and $n$ are cut by two transversals that meet on line $m$, forming a triangle. The angles on line $m$ are $45°$, $x°$, and $75°$ along a straight line. Find the value of $x$. $x =$ ___
7. Two parallel lines are cut by a transversal forming a triangle. An angle outside the triangle on the first parallel line measures $55°$. By the Alternate Interior Angles theorem, what is the measure of its corresponding angle inside the triangle?
8. Two transversals intersect on parallel line $p$ and cross parallel line $q$, forming a triangle. The two base angles of the triangle on line $q$ are $48°$ and $63°$ (transferred by alternate interior angles). Find the measure of the top angle of the triangle. The top angle $=$ ___ degrees.
9. Two parallel lines are cut by two transversals forming a triangle. The angles along the top parallel line are $35°$, $y°$, and $80°$ on a straight line. Which equation correctly finds $y$?
10. Parallel lines $j$ and $k$ are cut by two transversals meeting on line $j$. The angles on line $j$ measure $52°$, $z°$, and $68°$ along a straight line. Using alternate interior angles, the triangle's base angles equal $52°$ and $68°$. Find $z$. $z =$ ___