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ANSWER


The value of x is
[tex]43.25[/tex]


EXPLANATION

The given triangle is isosceles because the length of two sides are equal.


The base angles are also equal.


This implies that the three interior angles of the triangle are,

[tex]x,x \: \: and \: \: 93.5[/tex]


The sum of these three interior angles is 180°.


This implies that,

[tex]x + x + 93.5 = 180 \degree[/tex]

We group like terms and simplify to get,


[tex]x + x = 180 - 93.5[/tex]



[tex]2x = 86.5[/tex]


We divide both sides of the equation by 2 to get,


[tex]x = 43.25[/tex]

The correct answer is option D.

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