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

The correct answer is:

Given: m∠A + m∠B = m∠B + m∠C

Prove: m∠A = m∠C

Starting with our given statement, m∠A + m∠B = m∠B + m∠C, we can use the subtraction property of equality to subtract m∠B from each side:

m∠A + m∠B - m∠B = m∠B + m∠C - m∠B

When we subtract something from itself, it equals 0. This leaves us with:

m∠A + 0 = m∠C + 0

Adding 0 to anything leaves it as it was. This gives us:

m∠A= m∠C

From the given data it has been proved that by using the arithmetic operation that is , subtraction property.

Given :

The following steps that prove are given below:

Step 1 - Rewrite the given expression.

Step 2 - Observe the given expression and find the angle on both sides that are same.

Step 3 - Subtract the same angle on both the sides, that is, subtract .

Step 4 - Further simplify the above expression.

From the above steps it is proved that .

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step-by-step explanation:

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