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Points B and D are points of tangency. Find the value of x.

Points B And D Are Points Of Tangency Find The Value Of X class=

Sagot :

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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