M L Aggarwal Solutions for Chapter: Circles, Exercise 8: Chapter Test

In the adjoining figure, $AB$ is parallel to $DC$. If $\angle BCE=80° \text{and} \angle BAC=25°.$ Find $\angle ADC.$

In the adjoining figure, $ABCD$ is a quadrilateral inscribed in the circle with centre $O.$ $CD$ is produced to $E.$ If $\angle ADE=70°$ and $\angle OBA=45°.$ Find $\angle OCA.$

In the adjoining figure, $ABCD$ is a quadrilateral inscribed in the circle with centre $O.$ $CD$ is produced to $E.$ If $\angle ADE=70°$ and $\angle OBA=45°.$ Find $\angle BAC.$

In the below given figure, $O$ is the centre and $AOE$ is the diameter of the semicircle. If $AB=BC$ and $\angle OEC=50°$. Find $\angle ABC$

In the below given figure, $O$ is the centre and $AOE$ is the diameter of the semicircle. If $AB=BC$ and $\angle OEC=50°$. Find $\angle CBE$

In the below given figure, $O$ is the centre and $AOE$ is the diameter of the semicircle. If $AB=BC$ and $\angle OEC=50°$. Find $\angle CDE$

In the below given figure, $O$ is the centre and $AOE$ is the diameter of the semicircle. If $AB=BC$ and $\angle OEC=50°$. Find $\angle OEB$

In the below given figure, $O$ is the centre and $AOE$ is the diameter of the semicircle. If $AB=BC$ and $\angle OEC=50°$. Find $\angle AOB$

Prove that $OB$ is parallel to $EC$