Question

which angles are complementary to each other? select all that apply.

Explanation:

Step1: Define complementary angles

Complementary angles sum to $90^\circ$.

Step2: Identify right angle

$\angle 2 + \angle 3 = 90^\circ$ (right angle marker).

Step3: Analyze $\angle 1$ and $\angle 5$

No right angle relation, sum $
eq 90^\circ$.

Step4: Analyze $\angle 1$ and $\angle 3$

No right angle relation, sum $
eq 90^\circ$.

Step5: Analyze $\angle 2$ and $\angle 5$

$\angle 2 + \angle 5 = 90^\circ$ (right angle split).

Step6: Analyze $\angle 4$ and $\angle 5$

$\angle 4 = \angle 2$ (vertical angles), so $\angle 4 + \angle 5 = 90^\circ$.

Answer:

$\angle 2$ and $\angle 5$, $\angle 4$ and $\angle 5$