for a circle with centre o two tangents PA and PB form an angle of 80 ° from external point p . find m triangle POA
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Step-by-step explanation:
Answer:
Given: ∠APB=80
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As we know that sum of ∠APB+∠AOB=180
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(Using Property)
∠AOB=100
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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
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∠POA=50
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