**Given: m∠a + m∠b = m∠b + m∠c prove: m∠c = m∠a write a paragraph proof to prove the statement.** You will find answers to all your questions about this subject in this content. I wish you pleasant reading.

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**Given: m∠a + m∠b = m∠b + m∠c prove: m∠c = m∠a write a paragraph proof to prove the statement.**

**Given: m∠a + m∠b = m∠b + m∠c prove: m∠c = m∠a write a paragraph proof to prove the statement.**

Here’s a paragraph proof for the given statement: **Given that m∠a + m∠b = m∠b + m∠c**, we want to prove that **m∠c = m∠a**. We can start by simplifying the left-hand side of the equation using the associative property of addition: **m∠a + m∠b = (m∠b + m∠a) + m∠c**. Since **m∠b + m∠a = m∠a + m∠b**, we can substitute this equality in to get **m∠a + m∠b = m∠a + m∠b + m∠c**. Now we can cancel out the common terms on both sides of the equation, leaving us with **m∠c = m∠a**, which is exactly what we wanted to prove.

To further explain this proof, we can use the fact that the sum of angles in a triangle is always 180 degrees. If we let a, b, and c be the angles of the triangle, then we know that m**∠a + m∠b + m∠c = 180**. Since **m∠a + m∠b = m∠b + m∠c**, we can substitute this into the equation to get **m∠a + m∠b + m∠b + m∠c = 180**. Simplifying this, we get **m∠a + 2m∠b + m∠c = 180**.

But we also know that **m∠a + m∠b + m∠c = 180**, so subtracting this equation from the previous one gives us **m∠b = 0**. This means that b is a zero degree angle, which implies that a and c must be equal. Therefore, we have proven that **m∠c = m∠a**.

### What does ‘m’ stand for in this statement?

Answer: ‘m’ stands for ‘measure’.