Question

determining angle measures in context
a section of wall is being framed. a model of the framing work is shown.
which best describes the relationship between the 125° angle and angle a?
they are vertical angles. angle a measures 125°.
they are alternate interior angles. angle a measures 125°.
they are corresponding angles. angle a measures 55°.
they are same side interior angles. angle a measures 55°.

Explanation:

Step1: Recall angle - pair relationships

Vertical angles are opposite angles formed by two intersecting lines. Alternate interior angles are between two parallel lines and on opposite sides of a transversal. Corresponding angles are in the same relative position with respect to parallel lines and a transversal. Same - side interior angles are between two parallel lines and on the same side of a transversal.

Step2: Analyze the given angles

The lines \(c\) and \(d\) are parallel. The \(125^{\circ}\) angle and angle \(A\) are alternate interior angles. Alternate interior angles are congruent when two parallel lines are cut by a transversal.

Answer:

They are alternate interior angles. Angle A measures \(125^{\circ}\).