0580/22 Oct/Nov 2024, Question 8: Angles in a Quadrilateral
Cambridge IGCSE Mathematics 0580 · Paper 22 (Extended) · Calculator · 4 marks
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The question, in short
Using the two angles shown in a parallelogram, (132 − 2x)° and (15 + 5x)°, find x and then calculate the measure of the smallest interior angle.
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Solution · 4 marks
- 1Co-interior angles add to 180°: 132 − 2x + 15 + 5x = 180
- 2147 + 3x = 180 → 3x = 33 → x = 11
- 3Angles: 132 − 22 = 110° and 15 + 55 = 70°
- 4Smallest angle = 70°
Answer70
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Also searched as: 0580/22/O/N/24 · 0580_w24_qp_22 · 0580 w24 22 · question 8.
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