emorsonh20 emorsonh20
  • 11-05-2021
  • Mathematics
contestada

What is the measure of the inscribed angle that shares endpoints with a central angle measuring 58 degrees?

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ivycoveredwalls
ivycoveredwalls ivycoveredwalls
  • 11-05-2021

Answer:

29 degrees

Step-by-step explanation:

See attached image of an inscribed angle together with a central angle.

An inscribed angle is half the measure of the central angle!  Always!  In my image, if the measure of angle CAB is 58 degrees, then that is also the measure of arc CB.  The inscribed angle CDB is half the measure of the intercepted arc CB, so it's 29 degrees.

Ver imagen ivycoveredwalls
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