4MA1/2FR Jan 2020, Question 15: Multi-Step Angle Reasoning
Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 2FR (Foundation) · Calculator · 4 marks
اقرأ هذا الحل مشروحاً بالعربي ←
The question, in short
Using a triangle ABC with straight lines ACD and BCE, reflex angle ABC = 298° and angle ECD = 97°, work out angle x at A, justifying each stage.
Summarised in our own words. Use the official paper for the exact wording and the diagram.
Solution · 4 marks
- 1Angles around a point add to 360°.
- 2Angle ABC = 360 − 298 = 62°
- 3ACD and BCE are straight lines, so angle BCA and angle ECD are vertically opposite.
- 4Vertically opposite angles are equal, so angle BCA = 97°
- 5Angles in a triangle add to 180°.
- 6x = 180 − 62 − 97
- 7x = 21°
Answer21
Stuck on a step? Read the free lesson: Multi-Step Angle Reasoning
Practise more multi-step angle reasoning 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 multi-step angle reasoning
Also searched as: 4MA1 2FR January 2020 · 4MA1/2FR · 4ma1 jan20 2fr · question 15.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.