Circle T is shown. Angle Q S R intercepts arc Q R. Angle Q S R is 52 degrees. What is the measure of arc Q R? 26° 52° 104° 128°
2 answers:
Answer:
104 degrees'
Step-by-step explanation:
Find the diagram attached
According to the theorem;
Angle at the vertex is half the angle at its intercepted arc
Given
Angle at the vertex = 52 degrees
Angle at the intercepted arc = arc QR
Hence;
52 = 1/2 arcQR
Cross multiply
52 * 2 = arcQR
104 = arc QR
Swap
arc QR = 104 degrees'
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<h3>Answer: Venn Diagram is below</h3>
The rectangle represents the universal set (marked as "set U"). Everything is contained in this rectangle.
Circle A represents set A = {a, b, e, f, h, j}
Circle B represents set B = {b, c, d, f, j}
The common elements between the two sets are {b, f, j}, so we'll write these three values in the overlapping portion of the two circles.
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Similarly we'll have {c,d} go in circle B but not in the overlapping portion since these items are only found in set B.
The remaining terms {g, i, k} go outside both circles, but inside the rectangle, because neither of these elements are in set A or set B.