Instrucciones: Responde las siguientes preguntas.

• Calcula la magnitud de los ángulos \(\measuredangle BPA\) y \(\measuredangle DPC\), si \(\stackrel{\textstyle\frown}{\mathrm{AB}} = 87^{\circ}\) y \(\stackrel{\textstyle\frown}{\mathrm{CD}} = 130^{\circ}\).

  
  • \(108.5^{\circ}\)
  • \(116^{\circ}\)
  • \(115.5^{\circ}\)
  • \(103^{\circ}\)

• Calcula la magnitud de los ángulos \(\measuredangle BPA\) y \(\measuredangle DPC\), si \(\stackrel{\textstyle\frown}{\mathrm{AB}} = 90^{\circ}\) y \(\stackrel{\textstyle\frown}{\mathrm{CD}} = 114^{\circ}\).

  
  • \(102^{\circ}\)
  • \(106^{\circ}\)
  • \(94^{\circ}\)
  • \(92^{\circ}\)

• Calcula la magnitud de los ángulos \(\measuredangle APD\) y \(\measuredangle CPB\), si \(\stackrel{\textstyle\frown}{\mathrm{DA}} = 72^{\circ}\) y \(\stackrel{\textstyle\frown}{\mathrm{BC}} = 36^{\circ}\).

  
  • \(60^{\circ}\)
  • \(62^{\circ}\)
  • \(54^{\circ}\)
  • \(51^{\circ}\)

• Calcula la magnitud de los ángulos \(\measuredangle BPA\) y \(\measuredangle DPC\), si \(\stackrel{\textstyle\frown}{\mathrm{AB}} = 112^{\circ}\) y \(\stackrel{\textstyle\frown}{\mathrm{CD}} = 127^{\circ}\).

  
  • \(110.5^{\circ}\)
  • \(119.5^{\circ}\)
  • \(128.5^{\circ}\)
  • \(120.5^{\circ}\)

• Calcula la magnitud de los ángulos \(\measuredangle APD\) y \(\measuredangle CPB\), si \(\stackrel{\textstyle\frown}{\mathrm{DA}} = 103^{\circ}\) y \(\stackrel{\textstyle\frown}{\mathrm{BC}} = 60^{\circ}\).

  
  • \(91^{\circ}\)
  • \(71^{\circ}\)
  • \(81.5^{\circ}\)
  • \(77.5^{\circ}\)