Question

Name two complementary angles that are not adjacent.

Short answer

The two complementary angles that are not adjacent are $\angle MPL$and $\angle MLP$.

Step-by-step solution

Step 1. Definition of adjacent angles and complementary angles.

The adjacent angles are the angles that have the common vertex and common side.

The complementary angles are the angles whose sum is $90°$.

Step 2. Observe the diagram.

The given diagram is:

From the given diagram it can be concluded that:

$\angle MPL=50$and $\angle MLP=40$.

The angles $\angle MPL$and $\angle MLP$are not adjacent angles because they are having common side but they are not having common vertex.

Step 3. Find the sum of the angles ∠MPL and ∠MLP.

The sum of the angles $\angle MPL$and $\angle MLP$is $\angle MPL+\angle MLP$.

Therefore,

$\angle MPL+\angle MLP=50+40$

$=90$

Therefore, the sum of the angles $\angle MPL$and$\angle MLP$ is 90.

Therefore, the angles $\angle MPL$and$\angle MLP$ are complementary angles.

Step 4. Name the two complementary angles that are not adjacent.

As, the angles $\angle MPL$and$\angle MLP$ are not adjacent angles but are complementary angles.

Therefore, the two complementary angles that are not adjacent are $\angle MPL$and$\angle MLP$.