Question

which angles are complementary to each other?
∠1 and ∠2
∠2 and ∠4
∠5 and ∠1
∠4 and ∠5

Explanation:

Step1: Define complementary angles

Complementary angles sum to $90^\circ$.

Step2: Identify right angle marker

$\angle 3$ is a right angle ($90^\circ$), so $\angle 1 + \angle 2 = 90^\circ$.

Step3: Verify other pairs

• $\angle 2 + \angle 4$: $\angle 4$ is part of a straight line, sum exceeds $90^\circ$.
• $\angle 5 + \angle 1$: They form a straight line ($180^\circ$), supplementary not complementary.
• $\angle 4 + \angle 5$: They form a straight line ($180^\circ$), supplementary not complementary.

Answer:

$\angle 1$ and $\angle 2$