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

232°

232 degrees

92°

92 degrees

38°

Answer 1

Exterior-angle theorem: an exterior angle equals the sum of the two remote interior angles. The remote interior angles are 90° and b, so 142° = 90° + b. Thus b = 142° − 90° = 52°.