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# Properties of Triangles

Given a triangle with side lengths of 5, 12, and 14, is the largest angle in the triangle acute, right, or obtuse? Geometric knowledge helps us deduce much about triangles from limited information.

In the above diagram, the purple angle at \(Z\) equals \( \color{purple}{ 144}^\circ \) and the blue angle at \(Y\) equals \( \color{blue} {111} ^ \circ \). What is the measure of the green angle at \(X\)?

Note: The diagram is not drawn to scale.

In the above diagram, what is \( \color{green} {\text{green angle}} \) in degrees?

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