The range of the values of x is 3 < x < 9
What is a Triangle ?
A triangle is a polygon with three sides , angles and vertices.
The data is given in the question
The sides of the two triangles are same except , BD and DC.
It is known that the side opposite to the bigger angle is always bigger
therefore BD > DC
12 > 2x- 6
18 > 2x
9 > x
x < 9
and the value of a side is always greater than 0
therefore
2x-6 > 0
2x > 6
x >3
Therefore the range of the values of x is 3 < x < 9
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