e 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 ?

(1 point)
Responses

52°
52 degrees

38°
38 degrees

142°
142 degrees

128°
128 degrees
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1 answer

To find the sum of the measures of the interior angles at vertex I and vertex J, we can use the fact that the sum of the interior angles in a triangle is always 180 degrees.

Since we know that the exterior angle at vertex H is 38 degrees, we can subtract this angle from the sum of the interior angles in the triangle to find the sum of the interior angles at vertex I and vertex J.

180 degrees - 38 degrees = 142 degrees

Therefore, the correct answer is 142 degrees.