Question

question 20 (5 points)
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what is the name for an angle pair that contains ∠a and ∠b?
a) same side interior angles
b) alternate interior angles
c) same side exterior angles
d) alternate exterior angles

Explanation:

To determine the angle pair for ∠a and ∠b, we analyze their positions:

• Same - side interior angles: Lie between two parallel lines (the two slanted lines here) and on the same side of the transversal (the horizontal line). ∠a and ∠b are between the parallel lines and on the same side of the transversal, matching this definition.
• Alternate interior angles: Lie between the parallel lines but on opposite sides of the transversal. ∠a and ∠b are on the same side, so this is incorrect.
• Same - side exterior angles: Lie outside the parallel lines, which is not the case for ∠a and ∠b.
• Alternate exterior angles: Lie outside the parallel lines and on opposite sides of the transversal, which is also not the case here.

Answer:

A) same side interior angles