Question

Given: m∠A + m∠B = m∠B + m∠C
Prove: m∠C = m∠A

a. True
b. False

Answer 1

To prove that m∠C = m∠A, we can use the given equation and rearrange the terms to show the equality. Therefore, we have proved that m∠C = m∠A, so the statement is true.

Step-by-step explanation:

To prove that m∠C = m∠A, we can start with the given equation:

m∠A + m∠B = m∠B + m∠C

Using the fact that addition is commutative, we can rearrange the terms:

m∠A + m∠B = m∠C + m∠B

Since m∠B is common to both sides, we can subtract it from both sides:

m∠A = m∠C

Therefore, we have proved that m∠C = m∠A, so the statement is true.