Question

Which of the following choices is a reference angle to θ = 225º?
30 degrees
45 degrees
60 degrees
90 degrees

Answer 1

Answer:

45 degrees

Step-by-step explanation:

A reference angle can be found by identifying its terminal side and see by what angle the terminal side is close to the x-axis.

To do this, we can subtract this given angle by the nearest 90° angle.

270° is the closest.

$\textsf {Solving :}$

$\implies \textsf{Reference angle = 270 - 225}$

$\implies \textsf {45 degrees}$

Answer 2

Let see

$\\ \rm\Rrightarrow 225°$

Nearest 90° angles.

• 180
• 270

So

$\\ \rm\Rrightarrow 180+45°$

$\\ \rm\Rrightarrow 270-45°$

Hence the reference angle is 45°