6. (01.03 MC)
1 answer:
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Answer:
Step-by-step explanation:
<u><em>The complete question is:</em></u>
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
