hsnzkn00
hsnzkn00 hsnzkn00
  • 18-03-2022
  • Mathematics
contestada

help me find x please​

help me find x please class=

Respuesta :

sqdancefan
sqdancefan sqdancefan
  • 20-03-2022

Answer:

  132°

Step-by-step explanation:

An inscribed angle is half the measure of the arc it subtends. This means arc CB is twice the measure of inscribed angle CAB, so ...

  arc CB = 2×∠CAB = 2×40° = 80°

Arc AC is twice the measure of inscribed angle ABC, so ...

  arc AC = 2×∠ABC = 2×26° = 52°

The measure of central angle AOB is the same as the measure of arc AB.

  x = ∠AOB = arcs AC +arc CB = 52° +80°

  x = 132°

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