Using the circle theorems, we have proven that m ∠RTW = 15°
Circle theorems
From the question, we are to prove that m ∠RTW = 15°
In the given diagram,
measure of arc ST = 30°
∴ m ∠SRT = 30°
m ∠SRT = ∠T + ∠W ( Exterior angle of a triangle equals the sum of the two remote angles)
Also,
∠T = ∠W (Radii of the same circle)
∴ m ∠SRT = ∠T + ∠T
m ∠SRT = 2 × ∠T
30° = 2 × ∠T
∠T = 30° /2
∠T = 15°
∴ m ∠RTW = 15°
Hence, we have proven that m ∠RTW = 15°
Learn more on Circle theorems here: https://brainly.com/question/27111486
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