Question

Find one angle with positive measure and one angle with negative measure coterminal with the angle $425°$.

Short answer

The positive coterminal angle is $785°$.

The negative coterminal angle is localid="1648464676148" $-295°$.

Step-by-step solution

Step 1. Write down the given information.

The given angle is $425°$.

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

The positive coterminal with the given angle $425°$is $360{}^{\circ }+425{}^{\circ }=785°$.

The negative coterminal with the given angle $425°$is localid="1648464646890" $425{}^{\circ }-720{}^{\circ }=-295°$.

Step 3. Conclusion.

The positive coterminal with the given angle $60°$is $785°$.

The negative coterminal with the given angle $60°$is localid="1648464657190" $-295°$.