What is the measure of WUX in Circle V ?

Step-by-step explanation:

The complete question is:

In circle V, angle WXZ measures 30°. Line segments WV, XV, ZV, and YV are radii of circle V. Circle V is shown. Line segments W V, X V, Z V, and Y V are radii. Lines are drawn from point W to point X and from point Z to point Y to form secants. Point U is on the circle between points W and X. What is the measure of Arc W U X in circle V?

The picture of the question in the attached figure

step 1

Find the measure of angle XWV

we know that

The triangle VWX is an isosceles triangle, because has two equal sides (VX=VW)

we have

so

Remember that an isosceles triangle has two equal interior angles

so

step 2

Find the measure of angle WVX

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

substitute the given values

step 3

Find the measure of arc WUX

we know that

----> by central angle

we have

therefore

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step-by-step explanation: