jvae37
jvae37 jvae37
  • 21-03-2020
  • Mathematics
contestada

If minor arc AC = 96, what is the measure of ZABC?
72

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opudodennis
opudodennis opudodennis
  • 28-03-2020

Answer:

84°

Step-by-step explanation:

Assume that Z is the center of the circle.

Given that the minor arch AC=96°, we can find the major arc using the formula:

#We know that the  arc subtends a total of 180°

Therefore if the minor arc subtends 96°, then ZABC will subtend:

[tex]ZABC=180\textdegree - \arc AC\\\\=180\textdegree -96\textdegree\\\\=84\textdegree[/tex]

Hence, the measure of ZABC is 84°

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