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Circles — Maths STD 9 — Question

Gujarat BoardEnglish MediumSTD 9MathsCircles1 Mark
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Answer

  1. 90°
    Solution:

    $\angle\text{AOC}$ is made by arc $\widehat{\text{AC}}$ at centre and $\angle\text{ABC}$ is made by $\widehat{\text{AC}}$ on circumference in major segment.
    $\Rightarrow\angle\text{ABC}=\frac{1}{2}\angle\text{AOC}$
    $\Rightarrow\angle\text{AOC}=2\times\angle\text{ABC}$
    $=2\times45^\circ=90^\circ$

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