Question

In the circle below, if arc AC = 66°, and arc BD = 146, find the measure of Select one:

a. 146
b. 212
C. 66
d. 106

Answer 1

By applying intersecting chords angle theorem:-

`m\angle BPD= 106`°
`=1/2(BD+AC)`

`=1/2(146+66)`

`=1/2\time(212)`°

`m\angle BPD=106`°

Answer:- D) 106°

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Answer 2

• D. 106°

Explanation:

• m∠BPD = m∠APC = 1/2(mAC + mBD) = 1/2(66° + 146°) = 1/2(212°) = 106°