Question

An angle has a reference angle measuring 35º and its terminal side lies in Quadrant IV. What are possible positive and negative measures for the angle?

Answer 1

Answer:

Step-by-step explanation:

Given that,

The reference angle is 35°

It lies in the fourth quadrant.

The reference angle is the positive acute angle that can represent an angle of any measure.

The reference angle  must be < 90∘.

In radian measure, the reference angle  must be < π/ 2.

Basically, any angle on the x-y plane has a reference angle, which is always between 0 and 90 degrees. The reference angle is always the smallest angle that you can make from the terminal side of an angle (ie where the angle ends) with the x-axis. A reference angle always uses the x-axis as its frame of reference.

Since the reference angle is less than 35°, then, the reference angle is positive,

The negative angle is 360 - 35 = 325°

So, the positive reference angle is 35° and the negative reference angle is 325°