Respuesta :

frika

Answer:

172°

Step-by-step explanation:

Connect the center of the circle with two endpoints of the chord. You'll get the isosceles triangle with the angles adjacent to the base of

[tex]94^{\circ}-90^{\circ}=4^{\circ}[/tex]

Then the angle between two congruent sided (two radii of the circle) is

[tex]180^{\circ}-2\cdot 4^{\circ}=172^{\circ}[/tex]

This angle is central angle subtended on the arc z, so the measure of z is 172°.

luisejr77

Answer: OPTION B.

Step-by-step explanation:

It is important to remember that:

[tex]Tangent\ chord\ angle=\frac{1}{2}(Intercepted\ arc)[/tex]

We can identify in the figure that 94° is the measure of a tangent chord angle. Then, we can find "x":

[tex]94\°=\frac{1}{2}x\\\\(2)(94\°)=x\\\\x=188\°[/tex]

Since there are 360° in a circle, we can subtract 360° and the value of "x" to find the value of "z". Then we get:

[tex]z=360\°-x\\\\z=360\°-188\°\\\\z=172\°[/tex]