Concept Check Match each angle in Column I with its reference ang...

Question

Concept Check Match each angle in Column I with its reference angle in Column II. Choices may be used once, more than once, or not at all. See Example 1.

I.                                  II.
5.                                 A. 45°
6. 212°                        B. 60°
7.                                C. 82°
8.                                D. 30°
9.                                E. 38°
10.                              F. 32°

Accepted Answer

Hey, everyone here, we are asked to determine the reference angle of 191 degrees. Here we are given four answer choice options, answer choice. A 191 degrees. Answer B 169 degrees, answer C negative 11 degrees and answer D 11 degrees. So before we determine the reference angle of our given angle, we first need to determine its location. So we just need to notice that 191 degrees is greater than 180 degrees, but it is less than 270 degrees. So 191 degrees is within 182 170 degrees. And so this tells us that our given angle is in the third quadrant. And since our angle is in the third quadrant, we need to recall that for an angle theta in this third quadrant, the reference angle is theta minus degrees. And now here our theta is 191 degrees. So solving for our reference angle, we have 191 degrees minus 180 degrees. And now just simplifying, we get our reference angle of 11 degrees and with this, we are left with answer choice D where again, we have 11 degrees. Thanks for watching. I hope you found this video helpful and I'll see you again next time.

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Concept Check Match each angle in Column I with its reference angle in Column II. Choices may be used once, more than once, or not at all. See Example 1. I. II. 5. A. 45° 6. 212° B. 60° 7. C. 82° 8. D. 30° 9. E. 38° 10. F. 32°