Circle with centre C, and points A,B,D and E on the circumference of the circle. BD is the diameter of the circle. Angle CDA is 18 deg and angle AED is 31 deg. Find angle EDA.

Circle theorem: angle in a semi-circle is a right angle.Therefore angle BAE = 90 + 31 = 121 degrees ABDE is a cyclic quadrilateral and:Circle theorem: Opposite angles in a cyclic quadrilateral sum to 180 degrees.BAE is opposite CDE.CDE = 180 -121 = 59 degrees Therefore EDA = 59-18 = 41 degrees.

JH
Answered by Jasmin H. Maths tutor

5270 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

A rectangle has a total perimeter of 32cm with sides of length '3x' and 'x+8'. Solve for x.


Factorise 5a – 3a^2


√ 5(√ 8 + √ 2) Can be written as "a√ 10". What is the value of a?


simplify fully: (x^2+x-6)/(x^2-7x+10)


We're here to help

contact us iconContact ustelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2025

Terms & Conditions|Privacy Policy
Cookie Preferences