Question

Determine the quadrant in which the terminal side of the given angle lies.

Answer 1

Answer:

A. I

Step-by-step explanation:

The sum of the angles in the four quadrants equals $360^{o}$.

Given an angle $1165^{o}$, then;

$\frac{1165}{360}$ = 3.236111....

So that,

$360^{o}$ x 3 = $1080^{o}$

Thus,

$1165^{o}$ - $1080^{o}$ = $85^{o}$

We have;

$0^{o}$ < $85^{o}$ < $90^{o}$

Therefore, the terminal side would lie in the first quadrant. The correct option is A.