Use the image to answer the question.
An illustration shows triangle uppercase H uppercase I uppercase J. Uppercase H is the left vertex, uppercase I is the top vertex, and uppercase J is the right vertex. A line extending outward from uppercase H forms an exterior angle of 38 degrees.
What is the sum of the measures of the interior angles at vertex I and vertex J ?
38°
38 degrees
52°
52 degrees
128°
128 degrees
142°
The sum of the measures of the interior angles in a triangle is always 180 degrees.
Since the exterior angle at vertex H is 38 degrees, the sum of the measures of the interior angles at vertices I and J can be found by subtracting 38 degrees from 180 degrees.
180° - 38° = 142°
Therefore, the sum of the measures of the interior angles at vertex I and vertex J is 142 degrees.