Lemmara logoLemmaraWorked solution

4024/11 May/Jun 2021, Question 5: Angles in a Quadrilateral

Cambridge O Level Mathematics 4024 · Paper 11 (Non-calculator) · Non-calculator · 2 marks

اقرأ هذا الحل مشروحاً بالعربي ←

The question, in short

Quadrilateral ABCD has AD extended to E, with angles BCD = 135°, BAD = 83° and CDE = 122°; find x, the angle at B.

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

Solution · 2 marks

  1. 1Angle CDA = 180 − 122 = 58° (angles on a straight line)
  2. 2x = 360 − 135 − 83 − 58 (angles in a quadrilateral)
  3. 3x = 84

Answer84

Stuck on a step? Read the free lesson: Angles in a Quadrilateral

Practise more angles in a quadrilateral questions

Real 4024 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 angles in a quadrilateral

Also searched as: 4024/11/M/J/21 · 4024_s21_qp_11 · 4024 s21 11 · question 5.
Lemmara is an independent study tool, not affiliated with or endorsed by Cambridge International Education. The worked solutions are Lemmara’s own.