Question

Two lines are intersected by a third line. If ∠2 ≅∠6, which must be true about ∠2?

A) ∠2 is acute.
B) ∠2 is obtuse.
C) ∠2 is right.
D) ∠2 is congruent to ∠6.

Answer 1

Given that ∠2 is congruent to ∠6, it implies they are of equal measure. Therefore, the identity of ∠2 will mirror ∠6, confirming that ∠2 is congruent to ∠6. The correct response to the question would be 'D) ∠2 is congruent to ∠6.'

Step-by-step explanation:

The question deals with two lines intersected by a third line, resulting in the discussion of angles formed by such an intersection.

Given that ∠2 is congruent to ∠6 (∠2 ≅ ∠6), the student is asked to reason about the properties of ∠2.

Even without knowing the exact measures of ∠2 or ∠6, we can determine that ∠2 must share whatever properties ∠6 has due to congruence, that is, they have the exact same measure.

Thus, the correct response to the question would be 'D) ∠2 is congruent to ∠6.'