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Where mBD =70° and mCA = 170°

Where mBD =70° and mCA = 170°-example-1
User Cespon
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1 Answer

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Answer:

m∠BPD = 120

mBC + mAD = 120°

Explanation:

according to intersecting chord theorem: The measure of the angle formed by two chords that intersect inside the circle is
(1)/(2) the sum of the chords' intercepted arcs.

m∠BPD =
(1)/(2) (M∠BD + M∠CA)

=
(1)/(2) (70 + 170)

=
(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°

User Legenddaniel
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