He 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 additional 35 degrees. what is the measure of the angle? a. 35º
b. 125º
c. 145°
d. 215

D.

Step-by-step explanation:

We have been given that 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 additional 35 degrees.

We know that measure of angle of each quadrant is 90 degree, so measure of angle after rotating through two quadrants would be .

We are also told that the terminal arm rotates additional 35 degrees, so the measure of angle formed will be:

Therefore, the measure of the given angle would be 215 degrees and option D is the correct choice.