Assume that lines that appear to be tangent are tangent. o is the center of the circle. find the value of x. (figures are not drawn to scale.)

The measure of x is 45 degrees

The angle at the tangent (T) of a circle is 90 degrees.

So, we have:

The above angle means that the angles at the two tangents equal 90 degrees.

--- the sum of angles in a quadrilateral

Substitute 90 for T

Subtract 180 from both sides

Given that the angles at both tangents are equal, then:

Substitute 3x for O in

Divide both sides by 4

Hence, the value of x is 45 degrees

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