Angle relationships

What the problems look like

A few statements from this skill. Answers, hints and worked solutions live in the practice session.

1. Warm-up

   $\angle AOB$ and $\angle BOC$ are adjacent angles: they share ray $OB$ and together they form $\angle AOC$. If $m\angle AOC = 170^{\circ}$ and $m\angle AOB = 45^{\circ}$, find $m\angle BOC$ in degrees.

2. Warm-up

   $\angle AOB$ and $\angle BOC$ are adjacent angles: they share ray $OB$ and together they form $\angle AOC$. If $m\angle AOC = 142^{\circ}$ and $m\angle AOB = 31^{\circ}$, find $m\angle BOC$ in degrees.

3. Warm-up

   $\angle AOB$ and $\angle BOC$ are adjacent angles: they share ray $OB$ and together they form $\angle AOC$. If $m\angle AOC = 169^{\circ}$ and $m\angle AOB = 75^{\circ}$, find $m\angle BOC$ in degrees.

Problems shown under their original terms: Generated (template, solver-computed).