From the given information, we know that angles 1 and 2 together form a right angle. Since angle 1 is a right angle, it measures 90°. Angle 4 is given as 31°. Angle 2 can be found by subtracting the sum of angles 1 and 4 from 180°, since the sum of the angles in a straight line is 180°.
Therefore, m∠2 = 180° - (90° + 31°) = 180° - 121° = 59°.
So, the correct answer is 59°.
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
90°
90 degrees
31°
31 degrees
59°
59 degrees
180°
1 answer
1 answer