find angle ABC in given figure
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Since,BC is a diameter then
<CAB=90°. [angle in semicircle is equal to 90°]
<BAQ =60° (given)
By tangent property angle at the tangent is equal to an angle in alternate segment.Then,
<BAQ=<ACB=60°
In ∆ABC
sum of angles of a triangle is equal to 180°.
<ACB + <CAB + <ABC =180°
60° + 90° + <ABC =180°
150° + <ABC =180°
<ABC = 180° - 150°
<ABC = 30°
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