Practice — what type is this question? (Euclidean Geometry)

In the diagram, PQRS is a cyclic quadrilateral. Chord RS is produced to T. P̂ST = 136° and Q̂₁ = 100°. Determine, with reasons, the size of: 8.1.1 R̂ 8.1.2 P̂

Source: DBE Mathematics Paper 2, November 2019, Question 8.1.1–8.1.2

PON is a diameter of a circle. TM is a tangent to the circle at M. M̂₁ = 66°. 8.1 Write down, with reason, the size of N̂₁.

Source: DBE Mathematics Paper 2, November 2018, Question 8.1

In the diagram, the diagonals of quadrilateral CDEF intersect at T. EF = 9 units, DC = 18 units, ET = 7 units, TC = 10 units, FT = 5 units and TD = 14 units. Prove, with reasons, that: 8.2.1 EF̂D = EĈD 8.2.2 DF̂C = DÊC

Source: DBE Mathematics Paper 2, November 2019, Question 8.2