Use the image to answer the question.

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

90°
90 degrees

31°
31 degrees

59°

Answer 1

To find the measure of angle 2, we can use the fact that angles 1 and 2 together form a right angle, which means angle 1 + angle 2 = 90 degrees.

Therefore, angle 2 = 90 degrees - angle 1.

Given that angle 4 is 31 degrees, we can deduce that angle 1 is also 31 degrees (since they are vertical angles).

So, angle 2 = 90 degrees - 31 degrees = 59 degrees.

Therefore, m∠2 = 59°.