4MA1/2FR Jun 2018, Question 24: Interior and Exterior Angles of Polygons
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · Calculator · 4 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
A regular pentagon and regular octagon share side AB, and an isosceles triangle BCF sits on AB; find the marked angle x at C.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 4 marks
- 1Interior angle of pentagon = (180 × 3) ÷ 5 = 108
- 2Interior angle of octagon = (180 × 6) ÷ 8 = 135
- 3Angle CBF = 360 − (108 + 135) = 117
- 4Angle x = (180 − 117) ÷ 2 = 31.5
Answer31.5
Stuck on a step? Read the free lesson: Interior and Exterior Angles of Polygons
Practise more interior and exterior angles of polygons questions
Real 4MA1 past-paper questions, marked on your working like the exam, with a worked solution for every part.
Practise free on LemmaraMore past-paper questions on interior and exterior angles of polygons
Also searched as: 4MA1 2FR June 2018 · 4MA1/2FR · 4ma1 jun18 2fr · question 24.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.