Question

Can someone help? This is so hard

Answer 1

#1 x = 31°

#2 x = 125°

Step by Step Explanation:

#1

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

• 
  `x=(1)/(2)(103\degree-41\degree)`

• 
  `\implies x=(1)/(2)(62\degree)`

• 
  `\implies \red{\bold{x=31\degree}}`

#2

• By the theorem of intersecting chords, we have:

• 
  `x=(1)/(2)(96\degree+154\degree)`

• 
  `\implies x=(1)/(2)(250\degree)`

• 
  `\implies \purple{\bold{x=125\degree}}`