Question

1. given ( mangle3 = 105^{circ} ) and ( mangle4 = 75^{circ} ), if these are alternate exterior angles, are the lines parallel?

no, angles are complementary
yes, angles are equal
yes, angles are supplementary
no, angles are not congruent

Explanation:

When two lines are parallel, alternate exterior angles are congruent (equal in measure). Here, \(m\angle3 = 105^{\circ}\) and \(m\angle4=75^{\circ}\). Since \(105
eq75\), the angles are not congruent. Complementary angles add up to \(90^{\circ}\) (\(105 + 75=180
eq90\)), supplementary angles add up to \(180^{\circ}\) (but this is not the condition for parallel lines with alternate - exterior angles; the key is congruence for alternate - exterior angles).

Answer:

No, angles are not congruent