Question

multiple-choice question which angles are alternate interior angles? choose all that apply. angle deb and angle ebc angle deb and angle abf angle ebc and angle deg angle eba and angle feb rewatch

Explanation:

To determine alternate interior angles, we use the definition: when two parallel lines are cut by a transversal, alternate interior angles are non - adjacent angles that lie between the two lines and on opposite sides of the transversal.

Analyze each option:

• Option 1: Angle DEB and Angle EBC
• Let's assume that there are two parallel lines (for example, maybe two horizontal lines) and a transversal (a line that intersects the two parallel lines). Angle DEB and Angle EBC: If we consider the lines and the transversal, these two angles lie between the two lines (the "interior" region) and on opposite sides of the transversal. So, they can be alternate interior angles.
• Option 2: Angle DEB and Angle ABF
• Angle DEB and Angle ABF do not lie between the two lines (the interior region) formed by the transversal and the parallel lines. So, they are not alternate interior angles.
• Option 3: Angle EBC and Angle DEG
• Angle EBC and Angle DEG are not in the interior region between the two lines cut by the transversal. So, they are not alternate interior angles.
• Option 4: Angle EBA and Angle FEB
• Angle EBA and Angle FEB: If we consider the lines and the transversal, these two angles lie between the two lines (the "interior" region) and on opposite sides of the transversal. So, they can be alternate interior angles.

Answer:

A. Angle DEB and Angle EBC, D. Angle EBA and Angle FEB