R Chandra Solutions for Chapter: Circles, Exercise 2: TEST YOUR SKILLS

In the figure, $\mathrm{O}\mathrm{}$is the centre of the circle. What is the measure of $\mathrm{\angle }\mathrm{A}\mathrm{O}\mathrm{C}$?

In the figure, $\mathrm{O}\mathrm{}$ is the centre of the circle and $\mathrm{P}\mathrm{R}=\mathrm{Q}\mathrm{R}.$ What is the measure of $\mathrm{\angle }\mathrm{P}\mathrm{Q}\mathrm{R}?$

In the given figure, $\mathrm{O}$ is the centre of the circle. If $\mathrm{\angle }\mathrm{O}\mathrm{A}\mathrm{B}=40°$, then what is the measure of $\mathrm{\angle }\mathrm{A}\mathrm{C}\mathrm{B}$?

In the figure, $\mathrm{O}$ is the centre of the circle. What is the measure of $\mathrm{\angle }\mathrm{A}\mathrm{C}\mathrm{B}?$

In the figure, $\mathrm{O}$ is the centre of the circle. What is the value of $\mathrm{x}$?

In the figure, $\mathrm{O}$ is the centre of the circle. If $\mathrm{}\mathrm{\angle }\mathrm{A}\mathrm{D}\mathrm{C}={140}^0,$ then what is the value of $\mathrm{x}?$
or
$\mathrm{A}\mathrm{B}\mathrm{C}\mathrm{D}$ is a cyclic quadrilateral such that $\mathrm{A}\mathrm{B}$ is a diameter of the circle circumscribing it and $\mathrm{\angle }\mathrm{A}\mathrm{D}\mathrm{C}={140}^0,$ then what is measure of $\mathrm{\angle }\mathrm{B}\mathrm{A}\mathrm{C}?$

If $\mathrm{\angle }\mathrm{A}$ and $\mathrm{\angle }\mathrm{C}$ are in the ratio $3\mathrm{}:\mathrm{}2,$ then we have $\mathrm{\angle }\mathrm{A}=$………… and $\mathrm{\angle }\mathrm{C}=$…………

In the figure, $\mathrm{\angle }\mathrm{A}\mathrm{B}\mathrm{C}={70}^0,$ What is the measure of $\mathrm{\angle }\mathrm{A}\mathrm{D}\mathrm{C}?$