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See attached for the question

See attached for the question-example-1
User Crashtor
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Check the picture below.

See attached for the question-example-1
User Orun
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Answer:

∠ U = 12°

Explanation:

the inscribed angle RST is half the measure of its intercepted arc RT , then

arc RT = 2 × ∠ RST = 2 × 30° = 60°

the secant- tangent angle U is equal to half the difference of its intercepted arcs, that is

∠ U =
(1)/(2) ( RS - RT ) =
(1)/(2) × (84 - 60)° =
(1)/(2) × 24° = 12°

User Diadem
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