Question

Claim: ∠3 and ∠4 are complementary angles.

Given: ∠1 and ∠2 are complementary angles.

To Prove: ∠3 and ∠4 are complementary angles.

Proof it

Answer 1

To prove that ∠3 and ∠4 are complementary angles, we need to show that their sum is equal to 90 degrees. We can do this by verifying that ∠1 + ∠2 = 90 degrees, ∠1 + ∠3 = 90 degrees, and ∠2 + ∠4 = 90 degrees.

Step-by-step explanation:

We are given that ∠1 and ∠2 are complementary angles. To prove that ∠3 and ∠4 are complementary angles, we need to show that their sum is equal to 90 degrees.

Since ∠1 and ∠2 are complementary angles, ∠1 + ∠2 = 90 degrees.

Now, if we can show that ∠1 + ∠3 = 90 degrees and ∠2 + ∠4 = 90 degrees, we can conclude that ∠3 and ∠4 are complementary angles.

Therefore, the claim that ∠3 and ∠4 are complementary angles will be proven true if we can show that ∠1 + ∠2 = 90 degrees, ∠1 + ∠3 = 90 degrees, and ∠2 + ∠4 = 90 degrees.