(a)[3]
Calculate $\angle ECQ$, and show a reason at every stage of your working.
(b)[4]
Find $b$ in terms of $a$, and leave your answer in simplest form.
Mathematics 4024 · O Level · Circle theorems II
Circle theorems II — practice question
$PQ$ runs parallel to $RS$. $ABCD$ lies on a straight line. Also, $BE = CE$ and $\angle ABE = 110^\circ$.
Points $U, V, W, X$ and $Y$ are located on the circumference of a circle with centre $O$. $UY$ is a diameter of the circle, and $ZX$ is tangent to the circle at $X$. $\angle VUX = 35^\circ$, $\angle XZY = a^\circ$ and $\angle VWY = b^\circ$.