for circle with Centre o two tangets P A and PB from an angle of 80 degree from an external point P find m angle POA
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Step-by-step explanation:Answer:
GIVE: ∠APB=80°
As we know that sum of ∠APB+∠AOB=180°
(Using Property)
∠AOB=100°
Δ AOP ≃ ΔBOP by SSS congruency criteria.
AO=BO (Radius of circle)
PO=PO (common side of triangle)
AP=BP (tangents form an external point)
∠AOP=∠BOP (CPCT )
∠POA+∠POB=∠AOB=100°
∠POA=50°
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