PLEASE URGENT MATH HELP WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

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 ?

PLEASE URGENT MATH HELP WILL GIVE BRAINLIEST 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 tangents intercepting at a point outside a circle is equal to half the difference of 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 =)