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Solve for x Thank you for your help.

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novjb | Salutatorian

Posted September 8, 2013 at 5:26 PM via web

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Solve for x

Thank you for your help.

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baxthum8 | High School Teacher | (Level 3) Associate Educator

Posted September 8, 2013 at 7:24 PM (Answer #1)

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In this diagram, there are two tangents to the same circle intersecting outside the circle.  If we call the pooint of intersection as point D, then we can say that AD = CD.  Also, x is the minor arc formed from the tangents to the circle.

x (minor arc) `= 180 - 52` the angle formed outside from the intersecting tangents.

The major arc CBA = `180 + 52`

Since x is the minor arc:

`x = 128`

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