Final answer:
Without the specific context for angles 2 and 3, an accurate determination of m∠2 + m∠3 is not possible, but common geometric principles suggest that if they are part of a triangle with one right angle, their sum would be 90 degrees.
Step-by-step explanation:
The student is asking about the sum of the measures of angles 2 and 3, which is indicated by m∠2 + m∠3. Without the specific context or diagram, it is not possible to accurately determine the sum of these angles. However, we can review the possible options based on common geometric principles. Option A and B suggest that angles 2 and 3 add up to 180 degrees, but typically only adjacent angles forming a straight line or a pair of opposite angles in a parallelogram will sum to 180 degrees. Option C suggests that m∠2 + m∠3 = 90 degrees, which would be the case if angles 2 and 3 are complementary angles. Option D is not valid as corresponding angles are equal, not their sum adding up to 90 degrees.
Without further information on the relationship between angles 2 and 3, such as whether they are adjacent forming a straight line, complementary, or some other special case, the exact value of m∠2 + m∠3 cannot be stated for certain. In a typical triangle, the sum of the interior angles is always 180 degrees, so if angles 1, 2, and 3 are the angles of a triangle and m∠1 = 90 degrees (a right angle), then m∠2 + m∠3 would indeed equal 90 degrees (Option C).