IzaeahF485692 IzaeahF485692
  • 30-10-2022
  • Mathematics
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Point O is the center of this circle. What is mZCAB?A. 55 degrees B. 48 degrees C. 45 degrees D. 35 degrees

Point O is the center of this circle What is mZCABA 55 degrees B 48 degrees C 45 degrees D 35 degrees class=

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AlynnJ142908 AlynnJ142908
  • 30-10-2022

We are asked to find the measure of the angle CAB in the given figure.

Recall that the central angle is twice any inscribed angle subtended by the same arc.

For the given case, the central angle is given that is 96°

This means that the angle CAB must be half of the central angle.

[tex]m\angle CAB=\frac{1}{2}\cdot96\degree=48\degree[/tex]

Therefore, the measure of the angle CAB is 48°

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