This study notes covers Practice Questions within Angles in Polygons for GCSE Mathematics. Revise Angles in Polygons in Geometry & Measures for GCSE Mathematics with 12 exam-style questions and 3 flashcards. This topic appears regularly enough that it should still be part of a steady revision cycle. It is section 9 of 9 in this topic. Use this study notes to connect the idea to the wider topic before moving on to questions and flashcards.
Topic position
Section 9 of 9
Practice
12 questions
Recall
3 flashcards
Practice Questions
Q1 Calculate the sum of interior angles in a dodecagon (12-sided polygon).
Sum = (12 − 2) × 180°
Sum = 10 × 180° = 1800°
Q2 Find the size of each interior angle in a regular nonagon (9 sides).
Exterior = 360° ÷ 9 = 40°
Interior = 180° − 40° = 140°
Q3 A regular polygon has an exterior angle of 24°. How many sides does it have?
n = 360° ÷ exterior angle
n = 360° ÷ 24° = 15 sides
Q4 A hexagon has angles of 125°, 110°, 98°, 140°, and 140°. Find the sixth angle.
Sum in hexagon = (6 − 2) × 180° = 720°
Known = 125 + 110 + 98 + 140 + 140 = 613°
Sixth angle = 720° − 613° = 107°