The value of x is (d) 1
How to solve for x?
The angle ABC is given as:
∠ABC = 43x
The line AB touches the tangent line BC at point B.
However, the line AB is not a radius.
This means that:
∠ABC < 90
So, we have
43x < 90
Divide by 43
x < 2.09
From the list of options, the number less than 2.09 is 1
Hence, the value of x is (d) 1
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