Calcula la magnitud del ángulo \(\measuredangle APD\) si \(\stackrel{\textstyle\frown}{\mathrm{DA}} = 111^{\circ}\) y \(\stackrel{\textstyle\frown}{\mathrm{BC}} = 63^{\circ}\).

Calcula el valor del arco \(\stackrel{\textstyle\frown}{\mathrm{DA}}\) si \(\measuredangle APD = 12^{\circ}\) y \(\stackrel{\textstyle\frown}{\mathrm{BC}} = 11^{\circ}\).

Calcula el valor del arco \(\stackrel{\textstyle\frown}{\mathrm{CB}}\) si \(\measuredangle DPA = 30^{\circ}\) y \(\stackrel{\textstyle\frown}{\mathrm{AD}} = 100^{\circ}\).

Calcula la magnitud del ángulo \(\measuredangle APD\) si \(\stackrel{\textstyle\frown}{\mathrm{DA}} = 60^{\circ}\) y \(\stackrel{\textstyle\frown}{\mathrm{BC}} = 30^{\circ}\).

Calcula el valor del arco \(\stackrel{\textstyle\frown}{\mathrm{DA}}\) si \(\measuredangle APD = 21^{\circ}\) y \(\stackrel{\textstyle\frown}{\mathrm{BC}} = 37^{\circ}\).