Maths / Circles / Angle at the Centre is Double The Angle at Circumference

QUESTION

 O is the centre of the given circle. If reflex $\anglr AOC=270^o,$ which of the following is the measure of $\angle ABC\;?$ Image required

 OPTIONS A. $45^o$ B. $90^o$ C. $135^o$ D. $270^o$
Right Option : A

EXPLANATION
Explain TypeExplanation Content
Text

Angle at the centre is double the angle at the circumference

angle at the centre = $360^0-270^0= 90^0$

as angle at the circumference = $45^0$

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