A, B, C and D are points on the circumference of a circle - OCR - GCSE Maths - Question 16 - 2018 - Paper 1
Question 16
A, B, C and D are points on the circumference of a circle.
PQ is a tangent to the circle at D.
Angle BDQ = 72° and angle ABD = 63°.
(a) Work out angle x.
Give a re... show full transcript
Worked Solution & Example Answer:A, B, C and D are points on the circumference of a circle - OCR - GCSE Maths - Question 16 - 2018 - Paper 1
Step 1
Work out angle x.
96%
114 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
Angle x = 72° because the angles in the alternate segment are equal.
Step 2
Work out angle y.
99%
104 rated
Only available for registered users.
Sign up now to view full answer, or log in if you already have an account!
Answer
Angle y = 108° because the angles are supplementary in the cyclic quadrilateral ABCD (or opposite angles of a cyclic quadrilateral sum to 180°).
