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51. In figure, PQ || RS. Find x.

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52.

In figure, l₁ || l₂ and m₁ || m₂. Prove that ∠1 + ∠2 = 180°.

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53. In figure, if PQ || RS and ∠PXM = 50° and ∠MYS = 120°, find the value of x.

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54. In figure, find the value of ∠QRP when QP || RT.

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55. In figure, if AB II CD, then find ∠PQR.

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56. In figure, prove that AB || EF.

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57. In figure, if AB || DE then find the measure of ∠BCD.

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58. In figure, prove that AB || EF.

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59. In figure, if AB || CD, ∠APQ = 50° and ∠PRD = 127°, find x and y.

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60. In figure, PQ || RS, ∠PAB = 80° and ∠ACS = 120°. Find the value of x.

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