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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
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Answer 1

Since angles 1 and 2 form a right angle, we know that the sum of their measures is 90 degrees. We are given that angle 4 is 31 degrees.

Therefore, angle 2 would be 90 degrees - 31 degrees, which equals 59 degrees.

So, m∠2 = 59°.