Question

question 3 (5 points)
identify an angle thats congruent to \\( \angle pqr \\) in the given figure.
a) \\( \angle 1 \\)
b) \\( \angle 3 \\)
c) \\( \angle 4 \\)
d) \\( \angle 2 \\)

Explanation:

To determine which angle is congruent to \( \angle PQR \), we analyze the shape of \( \angle PQR \). \( \angle PQR \) is a right angle (or a similar - shaped angle with a specific opening). By visually comparing the angles:

• \( \angle 1 \) is an acute angle with a smaller opening than \( \angle PQR \).
• \( \angle 3 \) has a different shape (more like a right - angled corner but oriented differently, and its opening is not the same as \( \angle PQR \)).
• \( \angle 4 \) is an acute angle with a different opening.
• \( \angle 2 \) has the same general shape and opening as \( \angle PQR \), meaning they are congruent.

Answer:

D) \( \angle 2 \)