In the figure below, points $A$, $B$, $C$ and $D$ all lie on the circumference of the circle

Question

In the figure below, points $A$, $B$, $C$ and $D$ all lie on the circumference of the circle with centre $O$. $AD$ is the diameter of the circle. Find the value of $x$, $y$, $z$.

Accepted Answer

(a) $x = 90°$, (b) $y = 25°$, (c) $z = 25°$

Angle Properties of Circles: Thales' Theorem and Subtended Arcs

Angle Properties of Circles: Thales' Theorem and Subtended Arcs

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