0580/22 Oct/Nov 2023, Question 5: Angles in Parallel Lines
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 2 marks
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The question, in short
Two parallel lines are crossed by two intersecting straight lines; using the given angles 50° and 114°, find the value of x.
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Solution · 2 marks
- 1114° at the lower line: the other angle on the straight line is 180 − 114 = 66°
- 2Corresponding angles: 66° at the upper line, and vertically opposite it lies next to x°
- 3The 50° angle is vertically opposite the angle on the other side of x°
- 4Angles on a straight line: x = 180 − 66 − 50 = 64
Answer64
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Also searched as: 0580/22/O/N/23 · 0580_w23_qp_22 · 0580 w23 22 · question 5.
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