The sum of the interior angles of a triangle is always 180 degrees. If two of the angles each measure 34 degrees, you can calculate the measure of the third angle as follows:
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First, add the measures of the two known angles:
\( 34 + 34 = 68 \) degrees. -
Next, subtract this sum from 180 degrees to find the third angle:
\( 180 - 68 = 112 \) degrees.
Therefore, the measure of the third interior angle is 112 degrees.
The correct answer is D. 112.