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°.
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
3 answers