Question

Which expression finds the measure of an a 126 degree angle?​

Answer 1

Answer: OPTION D.

Step-by-step explanation:

The complete exercise is: "Which expression finds the measure of an angle that is coterminal with a 126° angle?

A. $126\° + (275n)\°$, for any integer n.

B. $126\° + (375n)\°$, for any integer n.

C. $126\° + (450n)\°$, for any integer n.

D. $126\° + (720n)\°$, for any integer n."

Coterminal angles are those angles that are in standard position and  and whose terminal sides are common.

If an angle is given in degrees,  you can find the angles that are coterminal with that angle by adding or subtracting 360 degrees.

By definition, knowing and angle $\alpha$, the following expression shows all the angles that are Coterminal with the angle $\alpha$, for any integer "n":

$\alpha +(360n)\°$

In this case, you know that:

$\alpha=126\°$

Then, you can say that its coterminal angles are:

$126\° + (360n)\°$

Knowing that "n" is an integer, if this is $2n$, you get the following expression:

$126\° + (360*2n)\°$

Simplifying:

$=126\° + (720n)\°$