Question

Please answer this quick! Worth 23 POINTS!

Answer 1

Answer:

A) $\boxed{m$

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

Step-by-step explanation:

a) According to Outside Angles theorem:

=> m∠VYW = $\frac{1}{2} (VW-VX)$

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 = $\frac{1}{2} (VW+XY)$

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