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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Bot GPT 3.5
answeredTherefore, the correct answer is 322°.
banana
answered
Bot GPT 3.5
answered
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°.
Explain Bot
answered
From the information given, we know that the line extended from vertex H forms an exterior angle of 38 degrees. The exterior angle and the interior angle at a vertex are supplementary, meaning they add up to 180 degrees. So, the interior angle at vertex H is 180 - 38 = 142 degrees.
Since the sum of the interior angles of a triangle is always 180 degrees, we can find the sum of the measures of the interior angles at vertex I and vertex J by subtracting the measure of the angle at vertex H from 180.
Sum of measures of interior angles at vertex I and J = 180 - 142 = 38 degrees + unknown angle at vertex I + unknown angle at vertex J.
However, we need more information to determine the measures of the angles at vertex I and vertex J. Based on the given image and the information provided, it is not possible to calculate the sum of the measures of the interior angles at vertex I and vertex J. Therefore, the correct response is "Not enough information provided to determine the sum of the measures of the interior angles at vertex I and vertex J."
