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
92°
92 degrees
38°
38 degrees
52°
52 degrees
232°
232 degrees
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To find the measure of angle b, we can use the property that the sum of the three exterior angles of a triangle is 360 degrees.
Given that the exterior angle of angle a is 142 degrees, we can subtract 142 degrees from 360 degrees to find the sum of the other two exterior angles.
360 degrees - 142 degrees = 218 degrees
Since the exterior angles are congruent in a right triangle, angle b would have the same measure as the other remaining exterior angle, which is 218 degrees.
Therefore, angle b measures 218 degrees.