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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
92°
92 degrees
38°
38 degrees
52°
52 degrees
232°
232 degrees
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To find angle b, we can use the property that the exterior angle of a triangle is equal to the sum of the two opposite interior angles.
The given exterior angle is 142 degrees, and we know that angle a is one of the interior angles. Therefore, the sum of angle a and angle b must equal 142 degrees.
Since angle a is labeled, we can subtract it from 142 degrees to find the measure of angle b.
142 degrees - angle a = angle b
Therefore, the correct answer is 142 degrees - angle a.