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In the above image, point \(R\) lies on the straight line \(QS\). If \( 78^\circ \leq x \leq 82^\circ \), what is a possible value of \(y\) (in degrees)?

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In the above figure, there are 2 semicircles whose centers are points \(X\) and \(Y\). If \( XY = 6\), what is the length of the curved portion?

A) \(2 \pi \)

B) \( 3 \pi \)

C) \( 6 \pi \)

D) \( 12 \pi \)

E) \( 18 \pi \)

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In the above figure, \(O\) is the center of the larger circle, and lies on the circumference of the smaller circle. If the radius of the smaller circle is 4, what is the radius of the larger circle?

A) 1

B) 2

C) 4

D) 8

E) 16

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In the above diagram, lines \(L1\) and \(L2\) are parallel and \(a, b, c, d, e, f\) represent the respective angles. Which of the following must be equal to \( 180^\circ \)?

A) \( a + b + d \)

B) \( b + c + e \)

C) \( c + d + e \)

D) \( d + e + f \)

E \( e + f + a \)

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In the above figure, point \(Q\) lies on the straight line \(PR\). If \(x\) and \(y\) are integer degree measures, which of the following is a possible value of \(x\)?

A) \( 40 ^ \circ\)

B) \(45 ^ \circ \)

C) \( 49 ^ \circ \)

D) \( 55 ^ \circ \)

E) \( 63 ^ \circ \)

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