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 ?
Since angles 1 and 2 together form a right angle, we know that the measure of angle 2 is 90 degrees - the measure of angle 1.
Since angle 4 is 31 degrees, we can find the measure of angle 1 by subtracting 31 degrees from 180 degrees (since angles 1 and 4 form a straight line).
180 degrees - 31 degrees = 149 degrees.
Therefore, the measure of angle 1 is 149 degrees.
Since angles 1 and 2 form a right angle, angle 2 is 90 degrees - 149 degrees.
90 degrees - 149 degrees = -59 degrees.
Therefore, the measure of angle 2 is -59 degrees.