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A side of the triangle below has been extended to form an exterior angle of 128 degrees. What is the measure of the interior angle adjacent to it?

A) 52 degrees
B) 62 degrees
C) 128 degrees
D) 180 degrees

Answer :

Final answer:

The interior angle adjacent to an exterior angle of 128 degrees in a triangle is 52 degrees, obtained by subtracting the exterior angle from 180 degrees. Option a is the answer.

Explanation:

The measure of the interior angle of a triangle that is adjacent to an exterior angle can be found by subtracting the exterior angle from 180 degrees.

Since the sum of the interior and exterior angles at a point on a straight line is 180 degrees, the interior angle adjacent to the 128-degree exterior angle is 180 degrees - 128 degrees = 52 degrees.

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