4MA1/2HR Jun 2023, Question 20: Combining Circle Theorems
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2HR (Higher) · Calculator · 2 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
Points A, B and C lie on a circle with tangent MN at C, AB = CB and angle BCN = 78°. Find angle ABC.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 2 marks
- 1Alternate segment theorem: angle BAC = angle BCN = 78°
- 2AB = CB, so the triangle is isosceles: angle BCA = angle BAC = 78°
- 3Angle ABC = 180 − 78 − 78 = 24
Answer24
Stuck on a step? Read the free lesson: Combining Circle Theorems
Practise more combining circle theorems 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 combining circle theorems
Also searched as: 4MA1 2HR June 2023 · 4MA1/2HR · 4ma1 jun23 2hr · question 20.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.