Question

pA and PB are tangents to a circle with centre C. If CPB= 35º, then find PCA.​

Answer 1

Answer:

PCA = 90°

Step-by-step explanation:

tangents are perpendicular to the radius of the circle

Answer 2

$\angle PCA=55^{\circ}$

Step-by-step explanation:

In triangle CPB

Angle CPB=35 degree

Angle PBC=90 degree

Because radius is perpendicular to the tangent.

$\angle CPB +\angle PCB+\angle CBP =180^{\circ}$

By using triangle angles sum property

Substitute the values

$90+35+\angle PCB=180$

$125+\angle PCB=180$

$\angle PCB=180-125=55^{\circ}$

$\angle PCB=\angle PCA=55^{\circ}$

The line drawn from external point of circle to the center then it will bisect the angle formed at center and the angle formed between two tangents.

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https://brainly.in/question/2393042:Answered by cutedoll