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Question
The given figure shows a circle with centre O such that chord RS is parallel to chord QT, angle PRT = 20° and angle POQ = 100°. Calculate:
(iv) angle STR
Solution
Join PQ, RQ and ST.
Since RSTQ is a cyclic quadrilateral
∴ `∠`QRS + `∠`QTS = 180° (sum of opposite angles)
⇒ `∠`QRS + `∠`QTS + `∠`STR = 180°
⇒ 110 + 40 + `∠`STR = 180°
⇒ `∠`STR = 30°
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