Question

Tell whether the angles are complementary, supplementary, or neither.

$\begin{array}{c}m\angle 3=64°\\ m\angle 4=116°\end{array}$

Short answer

The pair of angles are supplementary to each other.

Step-by-step solution

Step 1. Given Information.

The choices are: complementary, supplementary, or neither

Step 2. Concept used.

If the sum of two angles is $90°$ then the angles are called complementary angles and if the sum is $180°$ then the angles are called supplementary angles.

Step 3. Calculation.

Calculate the sum of the measures of the two angles.

$\begin{array}{c}m\angle 3+m\angle 4=64°+116°\\ =180°\end{array}$

Step 4. Conclusion.

Since the sum of angles is $180°$, the given pair of angles are supplementary to each other.