The correct bromheads.tv amongst the choices detailed is choice B. Resulting edge m The first step is determine ∠SRU,180° - 84° = 96° 98°/2 = 48° ∠SRU = 48° + 90° = 138° Then edge U indigenous the triangle was established using this formula,∠U = 180° - ∠SRU - ∠S = 180° - 138° - 30° = 12°

B.

You are watching: M s=30 mrs=84

Step-by-step explanation:

We have actually been given picture of a circle. We are asked to find the measure up of edge U.

We have actually been given that measure up of angle "s" is 30 degrees, for this reason the measure of arc RT will certainly be 2 time the measure up of edge "s" as angle "s" is inscribed edge of arc RT.

We know that the measure of angle created by intersecting secant and tangent outside a circle is fifty percent the difference of intercepted arcs.

Using Secant-tangent theorem, we can collection an equation to discover the measure of angle U as:

Substituting the provided values in above equation we will certainly get,

Therefore, the measure of edge U is 12 degrees and option B is the correct choice.

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