Question

Which expression can be used to determine the reference angle for an angle, x, measuring 150°? 180 degrees minus x x minus 180 degrees 360 degrees minus x x minus 360 degrees.

Answer 1

The expression 180 degrees - x is used to determine the reference angle for angle x = 150 degrees.

In trigonometry, There are 4 quadrants in between $0^\circ$ to $360^\circ$.

These quadrants can be expressed as,

Quadrant 1 = $0^\circ$ to $90^\circ$

Quadrant 2 = $90^\circ$ to $180^\circ$

Quadrant 3 = $180^\circ$ to $270^\circ$

Quadrant 4 = $270^\circ$ to $360^\circ$

Any angle lies between these quadrants is called quadrant angle.

The reference angle for any quadrant can be calculated as shown in the attachment.

Given that angle $x=150^\circ$. It means that angle $x$ lies in the quadrant 2.

So the reference angle can be calculated as,

Reference angle = $180^\circ - \angle x$

Reference angle = $180^\circ -150^\circ$

Reference angle = $30^\circ$

The expression 180 degrees - x is used to determine the reference angle for angle x = 150 degrees.

For more details about the reference angle, follow the link given below.

brainly.com/question/7099725

Answer 2

Answer:

A

Step-by-step explanation:

A