Question

alternate interior angles corresponder angles alternate exterior angles consecutive interior angles 1&8 2&7 3&5 4&7 3&6 1&5

Explanation:

Step1: Identify Alternate Interior Angles

Alternate interior angles are non - adjacent interior angles on opposite sides of the transversal.
For the given figure, \(3\) and \(6\) are non - adjacent interior angles on opposite sides of the transversal.

Step2: Identify Corresponding Angles

Corresponding angles are in the same relative position.
\(1\) and \(5\) are in the same relative position (upper - left of their respective intersections), \(2\) and \(6\) (upper - right), \(3\) and \(7\) (lower - right), \(4\) and \(8\) (lower - left). But from the given options \(1\&5\) is a pair of corresponding angles.

Step3: Identify Alternate Exterior Angles

Alternate exterior angles are non - adjacent exterior angles on opposite sides of the transversal.
\(1\) and \(8\) are non - adjacent exterior angles on opposite sides of the transversal.

Step4: Identify Consecutive Interior Angles

Consecutive interior angles are adjacent interior angles on the same side of the transversal.
\(4\) and \(5\) (not in options), \(3\) and \(5\) are adjacent interior angles on the same side of the transversal.

Answer:

Alternate Interior Angles: \(3\&6\)
Corresponding Angles: \(1\&5\)
Alternate Exterior Angles: \(1\&8\)
Consecutive Interior Angles: \(3\&5\)