Answer:
A. 51°
Step-by-step explanation:
By the theorem of intersecting secants.
[tex] m\angle B=\frac{1}{2} (m\widehat{LW} - m\widehat{MU}) [/tex]
[tex] 44.5\degree =\frac{1}{2} (140\degree - m\widehat{MU}) [/tex]
[tex] 2\times 44.5\degree = 140\degree - m\widehat{MU}[/tex]
[tex] 89\degree = 140\degree - m\widehat{MU}[/tex]
[tex] m\widehat{MU} = 140\degree -89\degree [/tex]
[tex] m\widehat{MU} = 51\degree [/tex]
