https://file.aiquickdraw.com/mathbot/file/1729157444709k0vpwht8.jpg

The problem in the image asks us to find the angle \(\angle MKL\) given the following information:

- \(\angle PML = 31^\circ\)
- \(\angle KLM = 46^\circ\)

From the diagram, \(K\), \(L\), and \(M\) form a triangle, with \(P\) inside the triangle. To solve for \(\angle MKL\), we can use the fact that the sum of the angles in a triangle is always \(180^\circ\).

The angles in triangle \(KLM\) are:
\[
\angle PML + \angle KLM + \angle MKL = 180^\circ
\]
Substituting the known values:
\[
31^\circ + 46^\circ + \angle MKL = 180^\circ
\]
Simplifying:
\[
77^\circ + \angle MKL = 180^\circ
\]
\[
\angle MKL = 180^\circ - 77^\circ = 103^\circ
\]

Thus, the measure of \(\angle MKL\) is \(103^\circ\).

Would you like further details on this solution? Here are 5 related questions to consider:

1. How can we check if an angle sum in a triangle is always \(180^\circ\)?
2. What other methods could be used to find an unknown angle in a triangle?
3. What is the significance of interior angles in different types of triangles (acute, obtuse, etc.)?
4. How would the problem change if the figure was a quadrilateral instead of a triangle?
5. What are alternate ways to represent angles in geometry?

**Tip:** Always verify that the sum of angles in any polygon follows the appropriate rule. For triangles, it is always \(180^\circ\), while for other polygons, different formulas apply!

Pada gambar berikut, diketahui ∠PML = 31° dan ∠KLM = 46°. Tentukan besar ∠MKL!

Learn how to find the missing angle ∠MKL in triangle KLM, given that ∠PML = 31° and ∠KLM = 46°. This problem utilizes the Triangle Angle Sum Theorem and is suitable for students in Grades 7-9.

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