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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

B125º
C145°
D215

Verified Answer :

The correct answer to this question is this one: "D. 215"

The terminal arm of an angle drawn in standard position, that means in the ) degree. 
It the rotates in a positive direction through two quadrants of the coordinate plane, that is equal to 180 degrees.

Then rotates an additional 35 degrees. 
So the angle is 180 + 35 = 215

Answer:

D. \(215^{\circ}\)

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 \(2\times 90^{\circ}=180^{\circ}\).

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

\(35^{\circ}+180^{\circ}=215^{\circ}\)

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

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