https://file.aiquickdraw.com/mathbot/file/1725567834175mh0yj7ui.jpg

The image you've uploaded contains the following information:

- You are given that:
  - \( m \angle 1 = 28^\circ \)
  - \( m \angle KJM = 51^\circ \)

The figure has four points: \( K \), \( J \), \( L \), and \( M \), forming angles at \( J \). You are asked to find \( m \angle 2 \).

It seems that angles \( \angle 1 \) and \( \angle 2 \) are part of a larger triangle or angle system at point \( J \). Since the total angle around point \( J \) should add up to \( 180^\circ \) on the same straight line, we can use this information to find \( m \angle 2 \).

### Solution:

To solve for \( m \angle 2 \), we know that angles around a point on a straight line sum to \( 180^\circ \). Therefore, we have the equation:

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

Substituting the given values:

\[
28^\circ + m \angle 2 + 51^\circ = 180^\circ
\]

Simplifying:

\[
m \angle 2 + 79^\circ = 180^\circ
\]

Solving for \( m \angle 2 \):

\[
m \angle 2 = 180^\circ - 79^\circ = 101^\circ
\]

Thus, \( m \angle 2 = 101^\circ \).

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

Here are 5 related questions you could explore:
1. How do we handle angle sums in different polygons, such as triangles or quadrilaterals?
2. Can you apply this straight-angle rule to other angle systems around a point?
3. What happens when angles share a common vertex but do not lie on a straight line?
4. How does the exterior angle theorem apply to this situation, if applicable?
5. What other types of angle relationships are essential in geometry?

**Tip**: Remember that angles on a straight line always sum to 180°. This is useful in many geometry problems!

In the figure below, m∠1 = 28° and m∠KJM = 51°. Find m∠2.

Learn how to find the measure of angle 2 when given m∠1 = 28° and m∠KJM = 51°. This problem uses the angle sum rule and is suitable for students in Grades 7-9. A step-by-step guide helps solve for m∠2.

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