Where mBD =70° and mCA = 170°
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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°