The complete inequality is -2 < x < 35
<h3>How to determine the range of value of x?</h3>
The figure attached to the question is the given parameter
From the figure, we understand that:
Side length BA and side length BD are equal.
This is represented as:
BA = BD
Because the side length AC is less than the side length CD, then it means that:
The measure of the angle ABC is less than the measure of the angle CBD
This is represented as:
∠ABC < ∠CBD
Where
ABC = x + 2
and
CBD = 37
Substitute ABC = x + 2 and CBD = 37 in the inequality expression ∠ABC < ∠CBD
So, we have:
x + 2 < 37
Subtract 2 from both sides of the inequality
x + 2 - 2 < 37 - 2
Evaluate the differences
x < 35
From the question, we have the following incomplete inequality
-2 < x < [ ]
Complete the inequality as follows:
-2 < x < 35
Hence, the complete inequality is -2 < x < 35
Read more about angles at:
brainly.com/question/24839702
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