Question

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

Answer 1

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

Answer 2

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=(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)=(242)/(2)=121`

Therefore, the measure of d is 121 degrees.