Question

Draw and label an example of an angle with negative measure in standard position. Then find an angle with positive measure that is coterminal with this angle.

Short answer

A figure representing an example of negative angle is:

An angle with positive measure that is coterminal with this angle is330°.

Step-by-step solution

Step 1. Given Information.

Given to draw and label an example of an angle with negative measure in standard position. Then to find an angle with positive measure that is coterminal with this angle.

Step 2. Explanation.

Considering the angle -30°:

Drawing the angle on a standard plane:

Since the line makes an angle of 30° with the x axis in clockwise direction, the angle represents -30°

A coterminous line is a line that coincides with another and has the same leg and terminal side but different angle.

Here, consider a positive angle i.e. an anticlockwise angle:

Since the complete angle is 360°, when the 30° is reduced, the angle becomes 330°.

Step 3. Conclusion.

Hence, a figure representing an example of negative angle is:

An angle with positive measure that is coterminal with this angle is 330°.