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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°

Answer 1

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.