Question

Can someone please help me with this question? Thank you!

Answer 1

Answer: A

Step-by-step explanation:

$\stackrel\frown{XY}$ ≅ $\stackrel\frown{YZ}$

⇒ ∠XOY ≅ ∠ZOY

$\overline{XO}$ ≅ $\overline{ZO}$ since they are both a radius

$\overline{OY}$ ≅ $\overline{OY}$ based on reflexive property

∴ ΔXOY ≅ ΔZOY by SAS

So, $\overline{XY}$ ≅ $\overline{ZY}$ by CPCTC

ZY = 10.2 is given

so, XY = 10.2 by substitution property