Geometry
# Properties of Triangles

$30^\circ$, the green angle is $80 ^ \circ$, and the purple angle is $45 ^ \circ$. What is the measure of the yellow angle?

In the above triangle, the blue angle is

In the above diagram, the purple angle at $Z$ equals $\color{#69047E}{ 144}^\circ$ and the blue angle at $Y$ equals $\color{#3D99F6} {111} ^ \circ$. What is the measure of the green angle at $X$?

Note: The diagram is not drawn to scale.

In the above diagram, what is $\color{#20A900} {\text{green angle}}$ in degrees?