Circle Theorems
65
Medium
0/3

A diagram of a circle with center O. Points A, B, and C are on the circumference. A tangent line DCE touches the circle at point C. Chords AC and BC are drawn. Angle ABC is 61 degrees, angle ACB is 73 degrees, and angle BCE is x degrees.

AAA, B B\,B and C C\,C are points on the circumference of a circle, centre OOO. DCE DCE\,DCE is a tangent to the circle.

Angle ABC=61∘ABC = 61^\circABC=61∘ Angle ACB=73∘ACB = 73^\circACB=73∘ Angle BCE=x∘BCE = x^\circBCE=x∘

Find the value of xxx.

Give reasons for each stage of your working.

[3]

Circle Theorems Questions

Practise Edexcel GCSE Maths Circle Theorems with exam-style questions for Foundation and Higher tier. 72 questions, matched to the Edexcel GCSE Maths (1MA1) specification and written in Paper 1, Paper 2 and Paper 3 style. Every question includes a full worked solution and mark scheme, so you can see where marks are awarded rather than just whether you got the answer right.

PreviousNext

Circle Theorems Questions

  1. GCSE
  2. /Maths
  3. /Circle Theorems