Question

PQ is a tangent at a pointC to a circle with CentreO. If it is a diameter and angle CAB=30° then find anglePCA.

Please find the figure in attachment box.

Answer 1

Answer:60°

Step-by-step explanation:

Angle CAB=30°

Angle ACB=90° .....Angle inscribed

in semicircle

In trianglr ABC

Angle CAB +Angle ACB + Angle ABC =180° ...Sum of measure of

angles in triangle

30° + 90° + Angle ABC = 180°

Angle ABC = 60°

Therefore

Angle ABC = Angle PCA ..Tangents

in alternate

segment

Therfore Angle PCA =60°

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