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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. See more

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In the above triangle, the blue angle is \( 30^\circ \), the green angle is \( 80 ^ \circ \), and the purple angle is \( 45 ^ \circ \). What is the measure of the yellow angle?

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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.

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

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