Question

The terminal arm of an angle drawn in standard position rotates in a positive direction through two quadrants of the coordinate plane, and then rotates an additonal 25 degrees. What is the measure of the angle?

Answer 1

There are 4 quadrants and each quadrant is has a measure of 90° angle.

Because the direction is positive, it means that the arm is going from 1st quadrant to 2nd quadrant.

90° + 90° = 180°

Because there is an additional rotation of 25°, the arm is now in the 3rd quadrant. 

180° + 25° = 205°

The measure of the angle is 205°