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We are given that \(\text{m}\angle 1 = 32^\circ\) and asked to find \(\text{m}\angle 2\).

Since \(\angle 1\) and \(\angle 2\) are on a straight line (forming a linear pair), the sum of their measures must be \(180^\circ\). This is a property of supplementary angles.

Thus, we can write:

\[
\text{m}\angle 1 + \text{m}\angle 2 = 180^\circ
\]

Substituting \(\text{m}\angle 1 = 32^\circ\):

\[
32^\circ + \text{m}\angle 2 = 180^\circ
\]

Solving for \(\text{m}\angle 2\):

\[
\text{m}\angle 2 = 180^\circ - 32^\circ = 148^\circ
\]

So, \(\text{m}\angle 2 = 148^\circ\).

Would you like more details on how linear pairs work or any other clarifications?

Here are 5 related questions:
1. What is a linear pair of angles?
2. How do we use the property of supplementary angles in geometry?
3. Can angles of a triangle be supplementary?
4. What other properties can we derive from angles on a straight line?
5. How do we apply the exterior angle theorem in such cases?

**Tip:** Always remember that angles forming a straight line sum up to \(180^\circ\), which is crucial when dealing with supplementary angles.

Learn how to find m∠2 when given m∠1 = 32°. This problem covers key geometry concepts such as supplementary angles and the linear pair theorem. Suitable for students in Grades 6-8.

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