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?

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? - Hello Friend question and answers, In sharing this time titled 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?, in helping to answer a question or help learning, hopefully content posting subject matter that I share this you can understand, if there are any difficulties please to comment.

Your 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?

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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?

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;

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°



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