step 1
Find the value of VW side
applying the law of sines
we have that
VW/sin(67)=42/sin(55)
VW=[42/sin(55)]*sin(67)
VW=47.2 m
step 2
Find the measure of angle V
Remember that
the sum of the ihe interior angles in any triangle must be equal to 180 degrees
so
67+55+mm
step 3
Find the area of triangle VWX
Apply the law of sines
we have that
A=(1/2)(VX)(VW)sin(V)
substitute given values
A=(1/2)(42)(47.2)sin(58)
A=840.6 m2
