Question

What is the value of d? Assume that the line is a tangent to the circle.

Answer 1

We have been given a chord and tangent to a circle. We have been minor arc measure that is equal to $118^{0}$.

Since we know that angle formed by a secant and tangent of circle is half of the measure of intercepted arc.

$\measuredangle x=\frac{1}{2}m \widehat{ABC}$

We can find intercepted arc by subtracting minor arc measure from 360 degrees because minor and major arcs add up to 360 degrees.

$360^{0}-118^{0}=242^{0}$

Now we will plug given values in our  formula,

$d^{0}=\frac{242}{2}=121$

Therefore, the measure of d is 121 degrees.

Answer 2

The measure of angle d is 1/2 measure of 118 (angle formed by a tangent and a chord theorem)
d=59degrees