Question

which angle is complementary to \\(\angle 1\\)?

Explanation:

Identify the given geometric markings

Using the Vertical Angles knowledge point

$$ \angle 3 \cong \angle 5 $$

The square symbol indicates:

$$ \angle 3 = 90^\circ $$

Therefore:

$$ \angle 5 = 90^\circ $$

Analyze the adjacent angle relationships

Using the Complementary Angles knowledge point

$$ \angle 1 + \angle 2 + \angle 5 = 180^\circ $$

$$ \angle 1 + \angle 2 + 90^\circ = 180^\circ $$

$$ \angle 1 + \angle 2 = 90^\circ $$

This means \(\angle 2\) is complementary to \(\angle 1\).

Answer:

Which angle is complementary to \(\angle 1\)?

\(\angle\) <blank>2</blank>