To determine the measures of the missing angles, we must use the fact that the sum of angles in a triangle is \(180^\circ\). However, since you haven't specified the relationship between these angles, I'll make some assumptions based on common configurations.
- If \(56^\circ\) and \(83^\circ\) are two angles of a triangle, we can find \(g\) as follows:
\[ g = 180^\circ - 56^\circ - 83^\circ \]
Calculating this:
\[ g = 180^\circ - 139^\circ = 41^\circ \]
So:
\[ g = 41^\circ \]
- If angles \(h\), \(m\), and \(k\) are supplementary to one of the given angles (for example, if \(h\), \(m\), and \(k\) are formed with \(56^\circ\) and \(83^\circ\) in a linear pair), we would also determine them based on adjacent angles.
If we assume \(m\) and \(k\) could also be angles in the same way, we may find them by being opposite to \(h\) (not specified here):
Supposing \(m\) and \(k\) are the complementary angles to \(56^\circ\) and \(83^\circ\):
\[ m = 180^\circ - 56^\circ = 124^\circ \] \[ k = 180^\circ - 83^\circ = 97^\circ \]
Let's summarize:
- \(g = 41^\circ\)
- \(h\) remains unspecified without further context.
- \(m = 124^\circ\)
- \(k = 97^\circ\)
If you can provide any additional relationships or rules about how the angles relate to each other, I can give a more precise solution!