4. In the knitting pattern, $$ m \angle 1=42^{\circ} $$. Find the measure of $$ \angle 2 $$. (Exampie 3)

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To determine the measure of $$ \angle 2 $$ given that $$ m \angle 1 = 42^{\circ} $$, we'll need to understand the relationship between these two angles.

**Assumption:** In the absence of a specific diagram, we'll assume that $$ \angle 1 $$ and $$ \angle 2 $$ form a **linear pair**. A linear pair consists of two adjacent angles whose non-common sides form a straight line.

**Properties of a Linear Pair:**
- **Supplementary Angles:** The two angles add up to $$ 180^{\circ} $$.

Given:
$$ m \angle 1 = 42^{\circ} $$

Let $$ m \angle 2 = x $$.

Since $$ \angle 1 $$ and $$ \angle 2 $$ form a linear pair:
$$ \angle 1 + \angle 2 = 180^{\circ} $$
$$ 42^{\circ} + x = 180^{\circ} $$

**Solving for $$ x $$:**
$$
\begin{align*}
42^{\circ} + x &= 180^{\circ} \
x &= 180^{\circ} - 42^{\circ} \
x &= 138^{\circ}
\end{align*}
$$

**Conclusion:**
$$ m \angle 2 = 138^{\circ} $$

**Answer:**  
The measure of $$ \angle 2 $$ is $$ 138^{\circ} $$.
The measure of $$ \angle 2 $$ is $$ 138^{\circ} $$.

4. In the knitting pattern, \( m \angle 1=42^{\circ} \). Find the measure of \( \angle 2 \). (Exampie 3)

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