Lemmara logoLemmaraWorked solution

4MA1/1F Jun 2022, Question 6: Interior and Exterior Angles of Polygons

Pearson Edexcel International GCSE Mathematics A 4MA1 · Paper 1F (Foundation) · Calculator · 5 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Find angle x on a straight line with a 48° angle at B, justify it, then use a quadrilateral, equilateral triangle and straight lines to find y.

Summarised in our own words. Use the official paper for the exact wording and the diagram.

Part (ai) · 1 mark

Work out the value of x using the angles at B on the straight line ABC.

  1. 1180 − 48 = 132

Answer132

Part (aii) · 1 mark

State a reason justifying the value found for x.

  1. 1angles on a straight line sum to 180°

Answerangles on a straight line add up to 180

Part (b) · 3 marks

Work out the value of y using the quadrilateral ABCF, equilateral triangle CDE and straight lines BCE and DCF; show working.

  1. 1CDE is equilateral, so angle DCE = 60°
  2. 2Vertically opposite angles: angle BCF = angle DCE = 60°
  3. 3Angles in a quadrilateral add to 360°: y = 360 − 105 − 125 − 60
  4. 4y = 70

Answer70

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 Lemmara

More past-paper questions on interior and exterior angles of polygons

Also searched as: 4MA1 1F June 2022 · 4MA1/1F · 4ma1 jun22 1f · question 6.
Lemmara is an independent study tool, not affiliated with or endorsed by Pearson Edexcel. The worked solutions are Lemmara’s own.