Solution:
(i) According to the given question,
![\[\angle ACB\text{ }and\angle ADB\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-ad2240de75476015d2cefa7639615093_l3.png "Rendered by QuickLaTeX.com")
are in the same segment,
So,
![\[\angle ADB\text{ }=\angle ACB\text{ }=\text{ }{{60}^{o}}\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-2780f78e8116a5a742a962a03198c608_l3.png "Rendered by QuickLaTeX.com")
(ii) Now, join
![\[OA\text{ }and\text{ }OB\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-accc15f29e2b7c6e3b43c402da7be570_l3.png "Rendered by QuickLaTeX.com")
And,
![\[\angle AEB\text{ }=\text{ }{\scriptscriptstyle 1\!/\!{ }_2}\text{ }Reflex\text{ }(\angle AOB)\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-4e61f17d69b2f14484e40eca093fe918_l3.png "Rendered by QuickLaTeX.com")
![\[=\text{ }{\scriptscriptstyle 1\!/\!{ }_2}\text{ }({{360}^{o~}}-\text{ }{{120}^{o}})\text{ }=\text{ }{{120}^{o}}\]](https://www.learnatnoon.com/s/wp-content/ql-cache/quicklatex.com-86d0c0c41a68e7f8581b2632d983822a_l3.png "Rendered by QuickLaTeX.com")
[Angle at the center is double the angle at the circumference subtend by the same chord]
Solution:
(i) According to the given question,
are in the same segment,
So,
(ii) Now, join
And,
[Angle at the center is double the angle at the circumference subtend by the same chord]