Q. 15 - Algebra 2

Question

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

Step-by-Step Solution

Answer

The positive coterminal angle is $785°$.

The negative coterminal angle is $-295°$.

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 $425{}^{\circ }-720{}^{\circ }=-295°$.

Step 3. Conclusion.

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

The negative coterminal with the given angle $60°$ is $-295°$.