Question

classify the angle pair \\( \angle mlj \\) and \\( \angle aeb \\).
nonadjacent and complementary
nonadjacent and supplementary
a linear pair
nonadjacent and neither complementary nor
supplementary

Explanation:

Step1: Find the measure of \(\angle MLJ\)

We know that \(\angle MLJ + 40^{\circ}+30^{\circ}=180^{\circ}\) (a straight - line angle).
So, \(\angle MLJ=180^{\circ}-(40^{\circ} + 30^{\circ})=110^{\circ}\).

Step2: Find the measure of \(\angle AEB\)

\(\angle AEB = 90^{\circ}\) (right - angle).

Step3: Check the relationship

Since \(\angle MLJ = 110^{\circ}\) and \(\angle AEB=90^{\circ}\), they are non - adjacent (they do not share a common vertex or side).
Also, \(\angle MLJ+\angle AEB=110^{\circ}+90^{\circ}=200^{\circ}
eq90^{\circ}\) (not complementary) and \(\angle MLJ+\angle AEB = 200^{\circ}
eq180^{\circ}\) (not supplementary).

Answer:

Nonadjacent and neither complementary nor supplementary