Question

question 4 (5 points) listen which of the following is true of the angle shown? a) the angle can be measured in radians only. b) the terminal side of the angle lies in quadrant ii. c) the measure of the angle is greater than 360°. d) the angle is not in standard position.

Explanation:

Step1: Recall angle - measurement facts

Angles can be measured in radians and degrees. So option A is incorrect.

Step2: Analyze the terminal - side position

The terminal side of the given angle lies in quadrant III. So option B is incorrect.

Step3: Estimate the angle measure

The angle is less than 360°. So option C is incorrect.

Step4: Check standard - position definition

An angle in standard position has its vertex at the origin and its initial side on the positive x - axis. The given angle does not meet this criteria as its initial side is not on the positive x - axis. So option D is correct.

Answer:

D) The angle is not in standard position.