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R
120°
140°
S
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Hrishii

Answer:

[tex] m\angle R = 50 \degree[/tex]

Step-by-step explanation:

By inscribed angle theorem:

[tex]m\angle R = \frac{1}{2} [360 \degree - (120 \degree + 140 \degree)] \\ \\ m\angle R = \frac{1}{2} [360 \degree -260 \degree] \\ \\ m\angle R = \frac{1}{2} \times 100 \degree \\ \\ m\angle R = 50 \degree \\ \\ [/tex]

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