Question

using the correct terms to complete the pairs. not all terms will be used
a pair of parallel lines, a line by a transversal as shown in the figure. identify the types of angles created by the transversal
corresponding angles vertical angles alternate exterior angles
alternate interior angles adjacent angles
angles 7 and 6
angles 2 and 6
angles 1 and 7
angles 5 and 2

Explanation:

• Angles 1 and 3: Vertical angles are opposite angles formed by two intersecting lines. Angles 1 and 3 fit this definition as they are opposite each other at the intersection of the transversal and one of the parallel - line - like structures (assuming the two vertical lines are parallel).
• Angles 2 and 4: Alternate interior angles are non - adjacent interior angles that lie on opposite sides of the transversal. If we consider the two vertical lines as parallel and the slanted line as a transversal, angles 2 and 4 meet this criterion.
• Angles 1 and 5: Corresponding angles are in the same relative position with respect to the parallel lines and the transversal. Angles 1 and 5 are in such a position.
• Angles 2 and 3: Adjacent angles are two angles that have a common vertex and a common side. Angles 2 and 3 share a common vertex and a common side.

Answer:

• Angles 1 and 3: vertical angles
• Angles 2 and 4: alternate interior angles
• Angles 1 and 5: corresponding angles
• Angles 2 and 3: adjacent angles