Answer:
<YOV=138 degrees.
Step-by-step explanation:
Angle made at center is equal to the intercepted arc.
< VZU is the angle made by arc UV at center,<VZU=84 degrees.
Triangle UVZ is an isosceles triangle with equal sides ZV and ZU.
< ZUV=(180-84)÷2=48 degrees ( Base angles of an isosceles triangle are equal.)
<YUZ=90 degrees (Tangent is perpendicular to the linecircle)
<YUV=<ZUV+<YUZ=48+90=138 degrees.
<YUV= 138 degrees.
