Question

Find one angle with positive measure and one angle with negative measure conterminal with the angle $60°$.

Short answer

The positive conterminal angle is $420°$.

The negative conterminal angle is $-300°$.

Step-by-step solution

Step 1. Write down the given information.

The given angle is $60°$.

Step 2. Evaluate one positive and another negative conterminal with the given angle.

The positive conterminal with the given angle $60°$is $360{}^{\circ }+60{}^{\circ }=420°$.

The negative conterminal with the given angle $60°$is$60{}^{\circ }-360{}^{\circ }=-300°$.

Step 3. Conclusion.

The positive conterminal with the given angle $60°$ is $420°$.

The negative conterminal with the given angle $60°$is $-300°$.