Calculate the value of x

Angle AOB = 2x + 28. An angle at the circumference is half that at the centre, so angle ACB = x + 14. Opposite angles of a cyclic quadrilateral sum 180° , so ACB + ADB = 180. ADB is given as 3x - 70. This combines to x + 14 + 3x - 70 = 180, which simplifies to 4x = 236, so x = 59°. To check this is of a reasonable size this can be substituted into the formulas for AOB and ADB to give an obtuse angle, as expected.

Answered by Eleanor L. Maths tutor

4429 Views

See similar Maths GCSE tutors

Related Maths GCSE answers

All answers ▸

I struggle with long worded questions


Expand and simplify (x+12)(x-3)


Mark wants to borrow money to buy a car. His bank offers him a loan of £5,000 to be payed back over 3 years at 4% compound interest. a) Work out the interest acquired in the 2nd year. b) In total how much will Mark end up paying back the bank?


Do you have any tips for revising for my GCSE Maths Exam?


We're here to help

contact us iconContact usWhatsapp logoMessage us on Whatsapptelephone icon+44 (0) 203 773 6020
Facebook logoInstagram logoLinkedIn logo

© MyTutorWeb Ltd 2013–2024

Terms & Conditions|Privacy Policy
Cookie Preferences