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Geometry

Properties of Triangles

Triangles - Angle Sum

         

In the above triangle, the blue angle is \( 30^\circ \) and the green angle is \( 70 ^ \circ \). What is the measure of the yellow angle (in degrees)?

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?

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, \(\color{blue} {\angle CAD=30^\circ}, \color{purple}{\angle ACD=80^\circ}\) and line \(\overline{BD}\) is a bisector of \(\angle ADC\). What is \(\color{green}{\angle CBD}\) in degrees?

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

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