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

52°
52 degrees

38°
38 degrees

232°
232 degrees

92°

1 answer

To find angle b, we can use the fact that the sum of the measures of the exterior angles of a triangle is always 360 degrees.

Since the exterior angle formed by extending line from angle a is 142 degrees, we can find angle b by subtracting 142 degrees from 360 degrees:

360 degrees - 142 degrees = 218 degrees

Therefore, angle b is 218 degrees.