Higher November 2018 Paper 5 Q19
19 The diagram shows a circle, centre O.
Points A, B, C and D lie on the circumference of the circle.
EDF is a tangent to the circle.
Angle ABC = 82° and angle ODC = 57°.
Not to scale
(a) Work out the value of \(x\). [2]
(b) Work out the value of \(y\). [3]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 66 | 2 | M1 for 180 – 2 × 57 or B1 for angle OCD = 57 | Could be on diagram |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 49 | 3 | M2 for angle ADO = 180 – 82 – 57 oe or M1 for angle ADC = 180 – 82 oe or M1 for angle ODF = 90 soi | 41 (angle ADO) 98 (angle ADC) angles could be on diagram e.g. Angle CDF = 33 |