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 .

52°

38°

92°

232°

1 answer

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

Since the exterior angle at angle a is 142 degrees and the right angle is 90 degrees, we can find angle b by subtracting these two angles from 180 degrees (the sum of the interior angles of a triangle):

b = 180 - 142 - 90
b ≈ 52°

Therefore, the answer is 52°.
Similar Questions
    1. answers icon 3 answers
  1. Use the image to answer the question.An illustration shows two right triangles with congruent corresponding angles. Triangle A B
    1. answers icon 11 answers
  2. Use the image to answer the question.An illustration shows two right triangles with congruent corresponding angles. Triangle A B
    1. answers icon 1 answer
  3. Use the image to answer the question.An illustration shows two right triangles with congruent corresponding angles. Triangle A B
    1. answers icon 1 answer
more similar questions