Question

identify each pair of angles in the first blank as alternate interior, alternate exterior, corresponding, consecutive interior, or consecutive exterior angles and state in the second blank if the pair is congruent or supplementary.
a
b
c
d
m∠2 & m∠10 are angles and should be
m∠6 & m∠12 are angles and should be
m∠1 & m∠5 are angles and should be
m∠14 & m∠15 are angles and should be
m∠9 & m∠12 are angles and should be

Explanation:

Step1: Identify angle - type for ∠2 and ∠10

∠2 and ∠10 are alternate exterior angles. When two parallel lines are cut by a transversal, alternate exterior angles are congruent.

Step2: Identify angle - type for ∠6 and ∠12

∠6 and ∠12 are alternate exterior angles. Alternate exterior angles formed by two parallel lines and a transversal are congruent.

Step3: Identify angle - type for ∠1 and ∠5

∠1 and ∠5 are corresponding angles. Corresponding angles formed by two parallel lines and a transversal are congruent.

Step4: Identify angle - type for ∠14 and ∠15

∠14 and ∠15 are consecutive interior angles. Consecutive interior angles formed by two parallel lines and a transversal are supplementary.

Step5: Identify angle - type for ∠9 and ∠12

∠9 and ∠12 are consecutive exterior angles. Consecutive exterior angles formed by two parallel lines and a transversal are supplementary.

Answer:

m∠2 & m∠10 are alternate exterior angles and should be congruent.
m∠6 & m∠12 are alternate exterior angles and should be congruent.
m∠1 & m∠5 are corresponding angles and should be congruent.
m∠14 & m∠15 are consecutive interior angles and should be supplementary.
m∠9 & m∠12 are consecutive exterior angles and should be supplementary.