(a)[1]
Complete the following statement by giving a geometrical reason. $\angle PTQ = 35^\circ$ because ...
(b)[1]
Find $\angle PQT$.
(c)[1]
Find the value of $\angle SPQ$.
(d)[1]
Find the value of $\angle SRQ$.
Mathematics 4024 · O Level · Circle theorems II
Circle theorems II — practice question
In the diagram, $P, Q, R, S$ and $T$ are points on the circle. $QT$ is a diameter of the circle with centre $O$. $X$ is the point where $PS$ and $QT$ cross. $\angle PXT = 125^\circ$ and $\angle PSQ = 35^\circ$.