in the figure AB is the diameter of the circle ACand PD are perpendicular to CD
a)what is the measure of angle APB?
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Answer:
60 degree
Step-by-step explanation:
In△OCD
OC=OB=CD
∴∠COD=60(Anglesofequilateraltriangle)
AS∠CAD=
2
1
∠COD=
2
1
×60=30
Now∠ADP=∠ADB=90(Angleinsemicircle)
In△ADP
∠ADP+∠DPA+∠DAP=180
⇒90+∠DPA+30=180
⇒∠DPA=180−120=60=∠APB
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