Question

which angles are complementary to each other? ∠1 and ∠3 ∠3 and ∠4 ∠1 and ∠2 ∠3 and ∠5

Explanation:

Step1: Recall complementary - angles definition

Two angles are complementary if their sum is 90 degrees.

Step2: Analyze the given angles

From the figure, we can see that $\angle1 = 90^{\circ}$. And $\angle1+\angle2+\angle3+\angle4+\angle5 = 360^{\circ}$. Since $\angle1 = 90^{\circ}$, we know that $\angle2+\angle3+\angle4+\angle5=270^{\circ}$. Also, we observe that $\angle2 + \angle3+\angle4 = 90^{\circ}$. So, $\angle1$ and $\angle2$ are complementary because $\angle1 = 90^{\circ}$ and $\angle2$ is part of the angles that make up the right - angle formed with $\angle1$.

Answer:

$\angle1$ and $\angle2$