Question

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Which of the following could be the measure of the angle below?
–180°
–120°
140°
510°

Answer 1

The measure will be 180° ± n×360° for some integer n.

For n = -1, the first choice is obtained: -180°

Answer 2

Answer:

The correct option is A.

Step-by-step explanation:

From the given graph it is clear that the measure of angle is 180 or coterminal angles of 180 because the angle lie on a straight line.

It means the angle is in the form of

$180+360n$

Where, n can be any integer.

At n=-1.

$180+360(-1)=-180$

At n=0.

$180+360(0)=180$

At n=1.

$180+360(1)=540$

Only the angle -180° is coterminal angle of 180°. Therefore the measure of given angle is -180° and the correct option is A.