What are the steps to find the measurement of an angle?

Question

anonymous · Answer

In geometry, an angle is the space between two rays or line segments with the same endpoint, or vertex. The most common way to measure angles is in degrees, with a full circle measuring 360 degrees. You can calculate the measure of an angle in a polygon if you know the shape of the polygon and the measure of its other angles or, in the case of a right triangle, if you know the measures of two of its sides.

mathmale · Answer

A whole lot depends upon the CONTEXT.  If you're interested, show angles in several distant contexts, and then I'll help you determine how to find the measure of the angle (if sufficient information is provided).

brooklynsshaw · Answer

Okay, so here are the angles.

mathmale · Answer

1)  Please find the supplement (supplementary angle) of 113 degrees.

brooklynsshaw · Answer

67 degrees.

mathmale · Answer

Great.  So, now, you have 2 of 3 interior angles of that given triangle.  How would you find the third angle?  Which principle about the interior angles of a triangle would you use here?

brooklynsshaw · Answer

I'm not sure as to how I would find the third angle.. I keep getting my steps mixed up, and I don't know how to find angle B as shown in the image above.