\( \angle A=\angle+\angle \)
Exterior Angle Inequality Theorem
\( \angle A \) is the exterior anale of \( \triangle \).
\begin{tabular}{|c|c|}
\hline Statements & Reasons \\
\hline\( \square \) & Given \\
\hline 2. & Exterior Angle Equality Theorem \\
\hline 3. \begin{array}{l}\( m \angle B C A>m \angle B \\
m \angle B C A>m \angle D\end{array} \) & 3. \\
\hline
\end{tabular}
What I have learned
Let us check your learning on proving inequalities in a triangles by completing the steps you need to observed in writing proofs/Indirect proofs. Complete the statement that follows.
Writing Proofs:
1. \( \qquad \) the figure described in the problem.
2. Label your drawn figure with the information from the given by
\( \qquad \)
\( \qquad \)
\( \qquad \)
3. Write down the steps carefully, without skipping even the simplest one. Some of the first steps are often the \( \qquad \) (but not always), and the last step is the statement that you set out to \( \qquad \)
Indirect Proofs:
1. Assume that the statement to be proven is not true by \( \qquad \) it.
2. Reason out logically until you reach a \( \qquad \) of a known fact.
3. Point out that your assumption must be \( \qquad \) , thus, the statement to be proven must be \( \qquad \)
