Question

I need help figuring out the answer

Answer 1

check the picture below.

if VW ≅ VU, that simply means those two sides are twins, and twin sides, coming from a vertex at V like there, will make twin angles on the "base", of the isosceles triangle.

and since the angles are twins, then


`\bf \stackrel{\measuredangle U}{8x-1}~~=~~\stackrel{\measuredangle W}{5x+23}\implies 3x=24\implies x=\cfrac{24}{3}\implies \boxed{x=8}\\\\ -------------------------------\\\\ \measuredangle W=5(8)+23`