Question

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

Explanation:

Step1: Recall same - side interior angles property

Same - side interior angles are two angles that are on the same side of the transversal and between the two parallel lines. The sum of same - side interior angles is \(180^{\circ}\).

Step2: Calculate the measure of angle \(A\)

Let the \(125^{\circ}\) angle and angle \(A\) be same - side interior angles. Using the formula \(A + 125^{\circ}=180^{\circ}\), we can solve for \(A\).
\(A=180^{\circ}- 125^{\circ}\)
\(A = 55^{\circ}\)

Answer:

They are same side interior angles. Angle \(A\) measures \(55^{\circ}\).