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  • 04-07-2019
  • Mathematics
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In the figure below, if arc RS measures 100 degrees, what is the measure of angle Q?

In the figure below if arc RS measures 100 degrees what is the measure of angle Q class=

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mathstudent55
mathstudent55 mathstudent55
  • 04-07-2019

Answer:

50 degrees

Step-by-step explanation:

The measure of an inscribed angle of a circle is half the degree measure of the intercepted arc.

m<Q = (1/2)m(arc)RS

m<Q = (1/2)(100 degrees)

m<Q = 50 degrees

Answer Link
jimrgrant1 jimrgrant1
  • 04-07-2019

Answer:

∠Q = 50°

Step-by-step explanation:

An inscribed angle whose vertex lies on a circle and whose sides are two chords of the circle is one half the measure of its intercepted arc.

arc RS is the intercepted arc, hence

∠Q = 0.5 × 100° = 50°

Answer Link

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