Question

pointed that the angle between the to tangents drank from an externat point a circle is supplemeter to the angle distended by the line segment joints the points of contact at the center​

Answer 1

Answer:

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Answer 2

Answer:

Step-by-step explanation:

Lets take a circle with center O.

Tangents PA and PB drawn from external point P.

To prove:

∠APB + ∠AOB = 180°

Proof:

Since PA is tangent,

OA ⊥ PA

(Tangent at any point of circle is perpendicular to the radius through point of contact)

∴  ∠OAP = 90°

Since PB is tangent,

OB ⊥ PB

(Tangent at any point of circle is perpendicular to the radius through point of contact)

∴ ∠OBP = 90°