Question

in the figure, ( x parallel y ) and ( a ) is a transversal that crosses the parallel lines. which angle pair forms corresponding angles? \\( \bigcirc angle 1 ) and ( angle 4 \\) \\( \bigcirc angle 6 ) and ( angle 7 \\) \\( \bigcirc angle 1 ) and ( angle 5 \\) \\( \bigcirc angle 3 ) and ( angle 6 \\)

Explanation:

Corresponding angles are pairs of angles that lie on the same side of the transversal, and in matching relative positions (above or below) with respect to the parallel lines.

• $\angle 1$ is above line $x$ and to the right of transversal $a$; $\angle 5$ is above line $y$ and to the right of transversal $a$, so they match the definition.
• $\angle 1$ and $\angle 4$ are supplementary adjacent angles.
• $\angle 6$ and $\angle 7$ are supplementary adjacent angles.
• $\angle 3$ and $\angle 6$ are alternate interior angles.

Answer:

$\boldsymbol{\angle 1 \text{ and } \angle 5}$