Line segment xy is tangent to circle z at point u. if the measure of uv is 84, what is the measure of yuv. a. 42 b. 84 c. 96 d. 168

option a. the measure of angle yuv is equal to

step-by-step 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

the answer is b.

step-by-step explanation:

identity property is where 0+whatever number=whatever number. basically 0+ a number.