5) In the figure, O is the centre of a circle, AC is a diameter. If ACB = 50°, then find the measure of BAC.
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Answer:
40⁰
Step-by-step explanation:
because angle CBA is 90⁰ so that angle BAC is 180⁰-(90⁰+50⁰)= 40⁰
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From the given figure , two triangles are formed ,
i.e. Triangle BCO and Triangle BAO,
From the given figure ,
OC = OA { Radius }
OB = OB
Angle BOC = Angle BOA = 90° {OB is perpendicular to the given diameter}
Hence , Triangle BCO and BAO are congruent
Therefore, Angle BAO is 50°
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