Question

An angle measuring 525° is in standard position. For which value of N will the terminal side fall on the white:

a) 1
b) 2
c) 3
d) 4

Answer 1

The terminal side of an angle measuring 525° in standard position falls in the second quadrant after a full rotation has been subtracted, leaving an equivalent angle of 165°.

Step-by-step explanation:

The student has posed a question involving an angle measuring 525° in a standard position and is seeking to determine the value of N for which the terminal side of the angle falls on a specific quadrant or axis. There must be a typographical error as the options provided for N seem unrelated to angles. Instead of seeking N, we will clarify the quadrant in which the terminal side resides.

To solve this, we must find the angle's equivalent between 0° and 360°. Since 525° is greater than 360°, we subtract 360° (the full rotation) to find the corresponding acute or obtuse angle. The formula we use is:

Equivalent angle = Original angle - (Full rotation × Integer number of rotations)

For 525°, the calculations would be:

Equivalent angle = 525° - 360° × 1

Equivalent angle = 525° - 360°

Equivalent angle = 165°

This resulting angle of 165° falls in the second quadrant. Therefore, the terminal side of an angle measuring 525° in standard position falls in the second quadrant.