MATH HELP PLEASE UGRGENT WILL GIVE BRAINIEST!!
In the figure, YX−→− and YZ−→− are tangents to circle A at points X and Z, respectively.

mXZ=140∘
mXSZ=220∘



What is the measure of ∠XYZ ?

MATH HELP PLEASE UGRGENT WILL GIVE BRAINIEST In the figure YX and YZ are tangents to circle A at points X and Z respectively mXZ140 mXSZ220 What is the measure class=

Respuesta :

The measure of an angle formed by two tangent lines intersecting at a point outside the circle is equal to one-half their intercepted arcs.
XYZ = 1/2(XSZ - XZ)
XYZ = 1/2 (220 - 140)
XYZ = 1/2 (80)
XYZ = 40

The measure of angle XYZ is 40 degrees.

Hope this helps =)

Answer:

40

Step-by-step explanation: