Question

Please answer this quick! Worth 23 POINTS!

Answer 1

A)
`\boxed{m<VYW = 47 degrees}`

B)
`\boxed{XY = 77 degrees}`

Explanation:

a) According to Outside Angles theorem:

=> m∠VYW =
`(1)/(2) (VW-VX)`

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 =
`(1)/(2) (VW+XY)`

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