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nlexa [21]
2 years ago
6

PLEASE HELP!!!

Mathematics
1 answer:
Neporo4naja [7]2 years ago
8 0

Using one of the circle theorems, we have proven that the measure of ∠RTW is 15°

<h3></h3><h3>Circle Geometry </h3>

From the question, we are to complete the proof

From the given information,

m\overset{\huge\frown}{ST} = 30 ^\circ

∴ m ∠SRT = 30°

Now, by one of the circle theorems, we have that

Angle at the <u>center</u> is twice the angle at the <u>circumference</u>

∴ ∠RWT = 30°/2

∠RWT = 15°

Consider ΔRTW

/RT/ and /RW/ are radii

Therefore, ΔRTW is an isosceles triangle

Then,

m ∠RWT = m ∠TRW (<em>Base angles of an isosceles triangle</em>)

∴ m ∠RTW = 15°

Hence, the measure of ∠RTW is 15° as proven above

Learn more on Circle Geometry here: brainly.com/question/17074363

#SPJ1

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