Answer:
A) [tex]\boxed{m<VYW = 47 degrees}[/tex]
B) [tex]\boxed{XY = 77 degrees}[/tex]
Step-by-step explanation:
a) According to Outside Angles theorem:
=> m∠VYW = [tex]\frac{1}{2} (VW-VX)[/tex]
Where mVX = 79, VW = 173
=> m∠VYW = (173-79)/2
=> m<VYW = 94/2
=> m∠VYW = 47 degrees
b) According to Angles of Intersecting Chords Theorem:
=> m∠VZW = [tex]\frac{1}{2} (VW+XY)[/tex]
Where m∠VZW = 64, VW = 51
=> 64 = 1/2(51+XY)
Multiplying both sides by 2
=> 64*2 = 51+XY
=> 128 = 51+XY
=> XY = 128-51
=> XY = 77 degrees
