Answer:
complementary
Step-by-step explanation:
∠PLO, ∠OLM, and ∠MLN form a straight line, so they sum 180 degrees. Therefore, we can write the following equation:
∠PLO + ∠MLN + ∠OLM = 180
However, ∠OLM is a right angle, so its measure is 90 degrees, then:
∠PLO + ∠MLN + 90 = 180
Subtracting 90 from both sides, we get:
∠PLO + ∠MLN + 90 - 90 = 180 - 90
∠PLO + ∠MLN = 90
It means that ∠PLO and ∠MLN sum to 90 degrees. When the sum of two angles is 90 degrees, we call them complementary angles. Thus, in relation to each other, ∠PLO and ∠MLN are complementary angles.
The solution is complementary.