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Olin [163]
2 years ago
13

Complete the following proof.

Mathematics
1 answer:
Ivan2 years ago
7 0

Using the circle theorems, we have proven that m ∠RTW = 15°

<h3>Circle theorems </h3>

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 ( <em>Exterior angle of a triangle equals the sum of the two remote angles</em>)

Also,

∠T = ∠W (<em>Radii of the same circle</em>)

∴ 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: brainly.com/question/27111486

#SPJ1

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