Respuesta :

Answer:

m∠BPD = 120

mBC + mAD = 120°

Step-by-step explanation:

according to intersecting chord theorem: The measure of the angle formed by two chords  that intersect inside the circle is [tex]\frac{1}{2}[/tex] the sum of the chords' intercepted arcs.

m∠BPD = [tex]\frac{1}{2}[/tex] (M∠BD + M∠CA)

             = [tex]\frac{1}{2}[/tex]  (70 + 170)

             =  [tex]\frac{1}{2}[/tex] (240)

m∠BPD = 120

We know that a circle has a total of 360° around the center of circle. To find the measure of the remaining measure of angle of arcs, subtract them from the whole that is 360°

mBC + mAD = 360 - ( 70 + 170 )

                     = 360 - 240

mBC + mAD = 120°

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