Avril16 Avril16

29-07-2022
Mathematics

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A central angle is an angle whose vertex is at center of a circle. Find measure angle ACC

A central angle is an angle whose vertex is at center of a circle Find measure angle ACC class=

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Medunno13 Medunno13

29-07-2022

Part 1

[tex]m\angle AOB=m\angle BOC[/tex]

Part 2

Since [tex]m\angle AOB=m\angle BOC[/tex] from part 1, we know that since [tex]m\angle AOB=53^{\circ}[/tex], by the transitive property of equality, [tex]m\angle BOC=53^{\circ}[/tex].

Part 3

[tex]m\angle AOC=m\angle AOB+m\angle BOC=53^{\circ}+53^{\circ}=106^{\circ}[/tex]

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