Respuesta :

Hrishii

Answer:

#1 x = 31°

#2 x = 125°

Step by Step Explanation:

#1

  • By the theorem of intersecting secants outside of the circle, we have:

  • [tex]x=\frac{1}{2}(103\degree-41\degree)[/tex]

  • [tex]\implies x=\frac{1}{2}(62\degree)[/tex]

  • [tex]\implies \red{\bold{x=31\degree}}[/tex]

#2

  • By the theorem of intersecting chords, we have:

  • [tex]x=\frac{1}{2}(96\degree+154\degree)[/tex]

  • [tex]\implies x=\frac{1}{2}(250\degree)[/tex]

  • [tex]\implies \purple{\bold{x=125\degree}}[/tex]