Question

∠4 and ∠5 are complements, and ∠1 and ∠5 are complements. by the congruent complements theorem, which angle is congruent to ∠4? ∠1 ∠2 ∠5 ∠3

Explanation:

Step1: Recall congruent - complements theorem

If two angles are complementary to the same angle, then they are congruent.

Step2: Identify complementary angles

Given that $\angle4$ and $\angle5$ are complements, and $\angle1$ and $\angle5$ are complements.

Step3: Apply the theorem

Since $\angle4$ and $\angle1$ are both complementary to $\angle5$, by the congruent - complements theorem, $\angle4\cong\angle1$.

Answer:

$\angle1$