Question

In relation to each other, PLO and MLN are ____ angles.The solution is ______

Answer 1

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.