Use the image to answer the question.

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 .
A:232
B:92°
C:52°
D:38°

Answer 1

To find angle b, we can use the property that the exterior angle of a triangle is equal to the sum of its two remote interior angles.

Since the exterior angle formed by extending angle a is 142 degrees, we can set up the following equation:

angle a + angle b = 142

Since angle a is labeled in the image, we can substitute its value into the equation:

62 + angle b = 142

Now we can solve for angle b:

angle b = 142 - 62 = 80 degrees

Therefore, the answer is not among the options provided.