Answer:
Length of side [tex]VW= 36.81\ cm[/tex].
Step-by-step explanation:
Diagram of the given scenario is shown below.
Given that: [tex]\angle X=126[/tex]° , [tex]\angle V=13[/tex]° and [tex]XW =10\ cm[/tex]
To find : Length of [tex]VW[/tex] ?
So, In [tex]\triangle VWX[/tex]
Using Sine law :- Sine law states that the ratio of each side of triangle the sine of the opposite angle is the equal for all three sides and angles. let sides and angle are [tex]a,b,c[/tex] and [tex]\angle A,\angle B,\angle C[/tex] then
Sine law : [tex]\frac{a}{Sin\angle A} =\frac{b}{Sin\angle B} =\frac{C}{Sin\angle C}[/tex]
According to Question,
Applying Sine law in [tex]\triangle VWX[/tex] we get,
[tex]\frac{VW}{Sin\angle 126} =\frac{10}{Sin\angle13}[/tex]
By cross-multiplication
[tex]VW =\frac{10 \times Sin\angle 126}{Sin\angle13} = \frac{10\times0.81}{0.22} =36.81[/tex]
Therefore, Length of side [tex]VW= 36.81\ cm[/tex].
