Question

Can someone help? This is so hard

Answer 1

Answer:

#1 x = 31°

#2 x = 125°

Step by Step Explanation:

#1

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

• $x=\frac{1}{2}(103\degree-41\degree)$

• $\implies x=\frac{1}{2}(62\degree)$

• $\implies \red{\bold{x=31\degree}}$

#2

• By the theorem of intersecting chords, we have:

• $x=\frac{1}{2}(96\degree+154\degree)$

• $\implies x=\frac{1}{2}(250\degree)$

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