DestinyK9882 DestinyK9882
  • 22-04-2021
  • Mathematics
contestada

A circle is centered on point B. Points A,C and D lie on its circumference. If ∠ABC measures 35 degrees what does ∠ADC measure

Respuesta :

nuuk nuuk
  • 23-04-2021

Answer: [tex]325^{\circ}[/tex]

Step-by-step explanation:

Given

[tex]\angle ABC=35^{\circ}[/tex]

A, C, and D lie on the circumference of the circle

from figure,

[tex]\angle ABC+x=360^{\circ}\quad [\text{angle around a point is 360}]\\\Rightarrow 35^{\circ}+x=360^{\circ}\\\Rightarrow x=325^{\circ}[/tex]

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