Question

Line segment xy is tangent to circle z at point u. circle z is shown. line segment u v is a secant. line segment x y is a tangent and intersects the circle at point u. the measure of arc u v is 84 degrees. if the measure of arc u v is 84°, what is the measure of angle y u v? 42° 84° 96° 168°

Answer 1

Based on the calculations, the measure of angle YUV is equal to 42°.

What is a line segment?

A line segment refers to a part of a line that is bounded by two (2) distinct points and it has a fixed length.

Based on the information given, we can deduce the following:

• O is center of circle (∠YUO  = 90°)

• The measure of arc UV is 84° (∠UOV = 84°)

• OU is equal to OV and equal to radius (∠OVU = ∠OUV)

From triangle UOV, we have:

∠OUV + ∠OUV + ∠UOV  = 180°

2OUV + 84 = 180

2OUV = 180 - 84

2OUV  = 96

OUV  = 96/2

OUV  = 48°

Now, we can determine the measure of angle YUV:

∠YUV = ∠YUO - ∠OUV

∠YUV = 90 - 48

∠YUV = 42°.

Read more on line segment here: brainly.com/question/18315903

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Answer 2

Answer:

42

Step-by-step explanation: