Tangents AB and AD are equal to each other. So, the value of the variable [tex]x[/tex] is 5.
Important information:
- Points B and D are points of tangency.
Tangent:
If two tangents are drawn on a circle from an external point, then the lengths of the tangents are equal.
In the given figure,
[tex]AB=AD[/tex]
[tex]2x+7=5x-8[/tex]
[tex]2x-5x=-7-8[/tex]
[tex]-3x=-15[/tex]
Divide both sides by -3.
[tex]x=5[/tex]
Therefore, the value of [tex]x[/tex] is 5.
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