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In the given figure, \(\angle 1\) and \(\angle 2\) are part of a linear pair. This means the two angles are adjacent and form a straight line, so their measures sum up to \(180^\circ\).

We are given that the measure of \(\angle 1 = 69^\circ\). To find \(\angle 2\), we can use the following equation:

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

Substituting the known value:

\[
69^\circ + m \angle 2 = 180^\circ
\]

Solving for \(m \angle 2\):

\[
m \angle 2 = 180^\circ - 69^\circ = 111^\circ
\]

Thus, \(m \angle 2 = 111^\circ\).

Would you like further details on this solution or have any other questions?

Here are 5 related questions to explore:

1. What is a linear pair of angles?
2. How are supplementary angles defined?
3. Can two obtuse angles form a linear pair?
4. What other angle relationships exist besides linear pairs?
5. How do adjacent angles differ from linear pairs?

**Tip:** When dealing with linear pairs, remember that the angles will always sum to \(180^\circ\), as they form a straight line.

In the figure below, m∠1 = 69°. Find m∠2.

Learn how to solve a problem involving a linear pair of angles, where m∠1 is given as 69°. This solution explains the concept of supplementary angles and applies the linear pair theorem. Suitable for students in Grades 6-8.

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