Question

Given: m∠A + m∠B = m∠B + m∠C Prove: m∠C = m∠A Write a paragraph proof to prove the statement.

Answer 1

Since angle a + angle b = angle b + angle c, subtract b from both sides cancelling them and now you are left with angle a = angle c

Mop the floor hide the wet sign just to catch em slippin

Answer 2

It is proved that m∠C = m∠A for the given m∠A + m∠B = m∠B + m∠C.

What is subtraction?

Subtraction is a basic arithmetic operation where one number is reduced from another number.

We can prove the statement as shown below:

It is given that m∠A + m∠B = m∠B + m∠C.

Now we have to simplify the equation by removing like terms from both sides.

m∠A + m∠B = m∠B + m∠C

⇒ m∠A = m∠C

⇒ m∠C = m∠A

The like terms are removed from the LHS and RHS and this has helped us prove that m∠C = m∠A.

Therefore, we have proved that m∠C = m∠A for the given m∠A + m∠B = m∠B + m∠C.

Learn more about angles here: https://brainly.com/question/25716982

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