Question

MP and MN are tangents to the circle.What is the value of x?133M94°90Nxo17286

Answer 1

86 degrees

Step-by-step explanation:

The angle 94 degrees is formed by two intercepted tangent lines.

The angle formed outside is always half the difference of the intercepted arcs.

Therefore:

`94\degree=(1)/(2)((360-x)-x)_{}`

Next, solve for x:

`\begin{gathered} 94\degree*2=360\degree-2x \\ 188\degree=360\degree-2x \\ 2x=360\degree-188\degree \\ 2x=172\degree \\ x=(172\degree)/(2) \\ x=86\degree \end{gathered}`

The value of x is 86 degrees.