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Komok [63]
3 years ago
15

Line segment XY is tangent to circle Z at point U. If the measure of is 84°, what is the measure of ? 42° 84° 96° 168°

Mathematics
2 answers:
Andreas93 [3]3 years ago
7 0

Answer:

The measure of angle YUV is equal to m

Step-by-step explanation:

see the attached figure to better understand the problem

we have that

arc\ UV=84\° -----> given problem

so

m ------> by central angle

we know that

The triangle UZV is an isosceles triangle

because

ZU=ZV=radius

so

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

Remember that

The sum of the internal angles of a triangle is equal to 180\°

so

m

2m

substitute and solve for m<ZUV

2m

m

m ------> by complementary angles

solve for m<YUZ

48\°+m

m

marin [14]3 years ago
4 0

Answer:

a 42

Step-by-step explanation:

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