Angles & Parallel Lines (Set 2) Worksheet

Sample problems

Use angle facts to find each unknown. When two parallel lines are cut by a transversal: corresponding angles are equal, alternate interior angles are equal, and same-side interior angles add to $180^{\circ }$. In any triangle the three angles add to $180^{\circ }$, and an exterior angle equals the sum of the two remote interior angles. Show the equation you solve.

1. 1. Lines $p$ and $q$ are parallel. The marked angles are alternate interior angles, and one measures $48^{\circ }$. Find the measure $x$ of the other.
2. 2. Two lines cross, forming a linear pair. One angle measures $137^{\circ }$. Find the measure $x$ of the angle next to it on the same line.
3. 3. Lines $m$ and $n$ are parallel. Find the value of $x$.
4. 4. An isosceles triangle has two equal base angles of $52^{\circ }$ each. Find the measure $x$ of the apex (vertex) angle.

Plus 10 more problems and a full answer key in the PDF.