vanna78
vanna78
04-05-2022
Mathematics
contestada
Find the measurement of x
Respuesta :
Hrishii
Hrishii
04-05-2022
Answer:
x = 40°
Step-by-step explanation:
In circle with center O.
[tex]\angle AOB[/tex] is central angle.
[tex]m\angle AOB= 80\degree[/tex] (Given)
[tex]m\widehat{(AB)} =m\angle AOB[/tex] (By central angle theorem)
[tex]\implies m\widehat{(AB)} =80\degree[/tex]
[tex] \angle ACB[/tex] is inscribed angle and [tex]\widehat{(AB)}[/tex] is intercepted by it.
[tex]\implies m\angle ACB=\frac{1}{2}\times m\widehat{(AB)}[/tex] (By inscribed angle theorem)
[tex]\implies x=\frac{1}{2}\times 80\degree[/tex]
[tex]\implies \huge\purple{ x=40\degree}[/tex]
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