SnowdenD217764 SnowdenD217764
  • 03-11-2022
  • Mathematics
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Find the measureOf an act intercept by and inscribed whose measure is 75°Hent, draw a picture and label it,

Find the measureOf an act intercept by and inscribed whose measure is 75Hent draw a picture and label it class=

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SylasH568841 SylasH568841
  • 03-11-2022

From the arc-angle relationships, we know that the inscribed angle is half of the intercepted arc, that is,

[tex]75=\frac{arcAB}{2}[/tex]

Then, by moving the denominator to the left hand side, we get

[tex]\begin{gathered} 2\times75=arcAB \\ \text{arcAB}=150 \end{gathered}[/tex]

then, the arcAB measure 150 degrees.

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