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What changes would you make to turn this formal proof into a paragraph proof?

Given: Angles [tex]\( A \)[/tex] and 15 are complementary.
Prove: [tex]\( A = 75^\circ \)[/tex].

Proof:
\begin{tabular}{|l|l|}
\hline
Statements & Reason \\
\hline
Angles [tex]\( A \)[/tex] and 15 are complementary & Given \\
\hline
[tex]\( m \angle A + 15 = 90^\circ \)[/tex] & Definition of complementary angles \\
\hline
[tex]\( m \angle A = 75^\circ \)[/tex] & By subtraction \\
\hline
\end{tabular}

To turn this formal proof into a paragraph proof:

1. Leave out the reasons and just write the statements.
2. Leave out all symbols and write out the words.
3. Write the reasons first and then the statements.
4. Write the statements and reasons in sentence format.



Answer :

GinnyAnswer
To transform the formal proof into a paragraph proof, you should follow these steps:

1. Combine the reasons and statements into cohesive sentences.
2. Write out the words, avoiding the use of symbols.
3. Ensure the reasoning follows naturally within the sentences.

Here is the paragraph proof based on the given formal proof:

Given that angles [tex]\(A\)[/tex] and 15 degrees are complementary, we know that the sum of their measures is 90 degrees. This follows from the definition of complementary angles, which states that two angles are complementary if the sum of their measures is 90 degrees. Therefore, we can express this relationship as the measure of angle [tex]\(A\)[/tex] plus 15 degrees equals 90 degrees. Solving for the measure of angle [tex]\(A\)[/tex], we subtract 15 degrees from 90 degrees to find that the measure of angle [tex]\(A\)[/tex] is 75 degrees. Hence, angle [tex]\(A\)[/tex] measures 75 degrees.

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