In the given figure, TAS is a tangent to the circle, with center O, at point A. If ZOBA = 32 ° then find the values of x and y
Answers
Explanation:
Answer:
x = 48°
Step-by-step explanation:
TAS is a tangent to the circle with centre O at point A.
OA = OB
=> <OAB = <OBA = 42°
∴ ∠OAB + ∠OBA = 42° + 42° = 84°
∴ ∠AOB = 180° - 84° = 96°
=> ∠ACB = (1/2)∠AOB = 1/2 * 96 = 48°
Also,
∠ACB = ∠BAS{angle in alternate segments}
=> ∠BAS = x = 48°
Hence, the value of x = 48°
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