Analyze the image and extract the geometric information presented.

Geometric Information:

The image displays a geometric configuration with two right-angled triangles, \(\triangle MKT\) and \(\triangle NLT\), sharing a common point \(T\) on the line segment \(KL\). Both \(MK\) and \(NL\) are perpendicular to \(KL\), indicating that \(\angle MKT = 90^{\circ}\) and \(\angle NLT = 90^{\circ}\).

Given lengths:

• The length of \(KT\) is 8 units.
• The length of \(TL\) is 12 units.

Unknowns:

• The length of \(MT\) is labeled as \(y\).
• The length of \(NL\) is labeled as \(x\).

Angles:

• There are arcs indicating angles at \(M\) and \(N\), but their values are not provided.
• There are arcs indicating angles at \(T\) within \(\triangle MKT\) and \(\triangle NLT\). These angles are adjacent and lie on the straight line \(KL\).

The image appears to be part of a geometry problem, likely involving trigonometry or the Pythagorean theorem to find the unknown lengths \(x\) and \(y\), possibly given additional information or constraints not visible in this image.