Hello, I partially understand all these questions, but I need help with all of them so I understand it completely so I'll post separately.
This figure shows circle O with chords AC and BD .
m /_ AB =34∘
m /_ CD =34∘
AP=6 m
PC=8 m
What is BD ?
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[ ] m
Draw BC
We have triangle BPC
Angle PBC = PCB because they are inscribed angles intercepting the same arc
So....the sides opposite thes angles are equal....so... BP = PC = 8m
Draw AD
And we have triangle APD
For the same reasonas above angle PAD = angle PDA
So.....AP = PD = 6m
So....BD = BP + PD = 8 + 6 = 14 m