Two interior angles of a triangle each measure 34. What is the measure of the third interior angle?

A. 56
B. 292
C. 146
D. 112

1 answer

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:

  1. First, add the measures of the two known angles:
    \( 34 + 34 = 68 \) degrees.

  2. 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.