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Fiesta28 [93]
3 years ago
6

Where mBD =70° and mCA = 170°

Mathematics
1 answer:
Nookie1986 [14]3 years ago
8 0

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 \frac{1}{2} the sum of the chords' intercepted arcs.

m∠BPD = \frac{1}{2} (M∠BD + M∠CA)

             = \frac{1}{2}  (70 + 170)

             =  \frac{1}{2} (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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