4024/11 Oct/Nov 2023, Question 10: Interior and Exterior Angles of Polygons
Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 4 marks
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The question, in short
A pentagon has four given exterior angles of 150°, 100°, 45° and 35°; find the fifth exterior angle, and find the interior angle of a regular decagon.
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Part (a) · 2 marks
Using the four exterior angles 150°, 100°, 45° and 35° of a pentagon, work out the size of the fifth exterior angle.
- 1Exterior angles add to 360°
- 2360 − (150 + 100 + 45 + 35) = 360 − 330 = 30°
Answer30
Part (b) · 2 marks
Work out the size of one interior angle in a regular decagon.
- 1Exterior angle = 360 ÷ 10 = 36°
- 2Interior angle = 180 − 36 = 144°
Answer144
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Also searched as: 4024/11/O/N/23 · 4024_w23_qp_11 · 4024 w23 11 · question 10.
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