Line segment XY is tangent to circle Z at point U.
If the measure of UV is 84º, what is the measure of ZYUV?

Step-by-step explanation:

The picture of the question in the attached figure

we have that

-----> given problem

so

------> by central angle

we know that

The triangle UZV is an isosceles triangle

because

ZU=ZV=radius

so

-----> bases angle of the isosceles triangle

Remember that

The sum of the internal angles of any triangle must be equal to 180 degrees

so

substitute and solve for m<ZUV

Find the measure of angle YUV

we have that

------> by complementary angles

substitute the given value and solve for m<YUV

1)is not similar since corresponding sides are not in the same ratio

2)are similar since corresponding sides are in the same ratio and corresponding angles are equal

hope it will

#faazmessi

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