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vladimir2022 [97]
3 years ago
12

B R S are two points on a circle,

Mathematics
1 answer:
uysha [10]3 years ago
4 0

Answer:

Proved!

Step-by-step explanation:

Since TS is a tangent to the circle, ∠TSO = 90°.

Hence, ∠OSR = 90° - x.

Since OS and OR are radius, OS = OR.

So, ∠ORS = ∠OSR = 90° - x.

Thus, ∠ROS = 180° - ∠OSR - ∠ORS = 180° - 2 * (90° - x) = 180° - 180° + 2x = 2x.

So, it is proved.

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