Answer:
The measure of angle YUV is equal to

Explanation:
see the attached figure to better understand the problem
we have that
-----> given problem
so
------> by central angle
we know that
The triangle UZV is an isosceles triangle
because

so
-----> bases angle of the isosceles triangle
Remember that
The sum of the internal angles of a triangle is equal to

so


substitute and solve for m<ZUV


------> by complementary angles
solve for m<YUZ

