Use the image to answer the question.
An illustration shows five rays emerging from an unlabeled point, forming the following angles from left to right: 1, 2, 3, 4, and 5. Angles 1 and 2 together form a right angle.
If m∠4=31° , what is m∠2 ?
(1 point)
Responses
180°180 degrees
31°
31 degrees
59°
59 degrees
90°
90 degrees
Since angles 1 and 2 together form a right angle, angle 1 measures 90 degrees. Angle 4 is given as 31 degrees. Since angle 1 and angle 4 are adjacent angles, they are supplementary, which means they add up to 180 degrees. Therefore, we can calculate angle 2 by subtracting the measure of angle 4 from 180 degrees.
m∠2 = 180° - 31° = 149°
Therefore, m∠2 is 149 degrees.