Use the image to answer the question.
An illustration shows a right triangle. The right angle is at the left; the top angle is labeled a; and the angle on the right is labeled b. A line extending outward from angle a forms an exterior angle of 142 degrees.
Use the properties of exterior angles of triangles to find angle b .
(1 point)
Responses
38°
38 degrees
232°
232 degrees
92°
92 degrees
52°
52 degrees
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To find angle b, we can use the fact that the exterior angle and the remote interior angles are supplementary. In other words, the exterior angle of a triangle is equal to the sum of the remote interior angles.
In this case, the exterior angle is 142 degrees, and angle a is one of the remote interior angles. Therefore, angle b is equal to 180 degrees - 142 degrees = 38 degrees.
So, the correct answer is 38°.