danielahchf
danielahchf danielahchf
  • 02-01-2019
  • Mathematics
contestada

In circle F what is the measure of arc CB?

17.5
35
70
60

In circle F what is the measure of arc CB 175 35 70 60 class=

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LammettHash
LammettHash LammettHash
  • 03-01-2019

The inscribed angle theorem says that the angle formed by two intersecting chords of a circle (the angle A between the chords AC and AB in this case) has half the measure of the central angle subtended by the arc containing those chords (arc CB in this case). So

[tex]m\angle BAC=\dfrac12m\angle BFC\implies m\angle BFC=2\cdot35^\circ=70^\circ[/tex]

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