Answer:
The range of x is 3<x<34.
Explanation:
From the given figure it is clear that two corresponding sides of two small triangles are same. It means the length of third side of the triangles have positive relation with the opposite angle.
The larger side has greater opposite angle and the smaller sides and smaller opposite angle.
The opposite angle of side of 27 units is 93°.
The opposite angle of side of 26 units is 3x-9°.
Since
, therefore
Add 9 on both the sides.
Divide both sides by 3.
The value of x must be less than 34.
To form a triangle the angle must be greater than 0.
Add 9 on both the sides.
Divide both sides by 3.
The value of x must be greater than 3.
Therefore the range of x is 3<x<34.