Answer:
x=8.45cm
[tex]\angle \ y=57.67\textdegree[/tex]
w=18.13cm
v=5.35cm
Step-by-step explanation:
#Use Sine Rule to calculate x and w:
[tex]\ Sine \ Rule:\\\frac{a}{sin A}=\frac{b}{sin B}=\frac{c}{sin C}\\\\\frac{20}{sin 90\trxtdegree}=\frac{x}{sin 25\textdegree}\\\\x=8.45cm\\\\\frac{20}{sin 90\textdegree}=\frac{w}{sin 65\textdegree}\\\\w=18.13cm[/tex]
Hence x=8.45cm and w=18.13cm
#Further using Sine Rule to calculate y and v:
[tex]\ Sine \ Rule:\\\frac{a}{sin A}=\frac{b}{sin B}=\frac{c}{sin C}\\\\\frac{10}{sin 90\trxtdegree}=\frac{8.45}{sin y\textdegree}\\\\y=57.67\textdegree\\\\\frac{10}{sin 90\textdegree}=\frac{v}{sin (90-57.67)\textdegree}\\\\v=5.35cm[/tex]
Hence v=5.35cm and [tex]\angle \ y=57.67\textdegree[/tex]
