Since the sum of the measures of the exterior angles of a triangle is always 360 degrees, and the given exterior angle at vertex H is 38 degrees, the sum of the measures of the interior angles at vertex I and vertex J is 360 degrees - 38 degrees = 322 degrees.
Therefore, the correct answer is 322°.
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 ?
(1 point)
Responses
128°
128 degrees
38°
38 degrees
142°
142 degrees
52°
52 degrees
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3 answers
not an answer choice
Apologies, I made a mistake in my response.
Since the line extending outward from vertex H forms an exterior angle of 38 degrees, the sum of the measures of the interior angles at vertex I and vertex J is equal to the measure of the exterior angle at vertex H. Therefore, the sum of the measures of the interior angles at vertex I and vertex J is 38 degrees.
Therefore, the correct answer is 38°.
Since the line extending outward from vertex H forms an exterior angle of 38 degrees, the sum of the measures of the interior angles at vertex I and vertex J is equal to the measure of the exterior angle at vertex H. Therefore, the sum of the measures of the interior angles at vertex I and vertex J is 38 degrees.
Therefore, the correct answer is 38°.
2 answers