Properties of Vertically Opposite Angles

Find the measure of $\angle AOC, \angle COB, \angle BOD$ for the following:

Find the measure of $\angle AOC, \angle COB, \angle BOD$ for the following:

Consider the following statements regarding vertically opposite angle:

$\left(i\right)$. Vertically opposite angles share a common point.

$\left(ii\right)$. The point which is a common vertex of two vertically angles is also called the point of concurrency

$\left(iii\right)$. Vertical angles are a pair of adjacent angles 

Which of the above statements is/ are not correct?

Which of the following statements is/are true for vertically opposite angles:

$\left(i\right)$Vertical angles are always equal.

$\left(ii\right)$Vertical angles can be supplementary as well as complimentary.

$\left(iii\right)$Vertical angles are always adjacent.

Prove that the vertically opposite angles are equal.

Find the value of x, y and z.

Find the value of $x, y, z$ from the given figure:

Find the measurement of $\angle \mathrm{FOD}$ from the given figure :

Given that, $\mathrm{OP}, \mathrm{OQ}, \mathrm{OR}, \& \mathrm{OS}$are concurrent. $\mathrm{OP}$ and $\mathrm{OR}$ are on a same straight line. $\mathrm{P}$ and $\mathrm{R}$ are situated on opposite sides of the point $\mathrm{O}$.

$\angle \mathrm{POQ}=\angle \mathrm{ROS}$ and $\angle \mathrm{POQ}=\angle \mathrm{QOR}$ if $\angle \mathrm{POQ}=50°$ then write the measurement of $\angle \mathrm{QOR}, \angle \mathrm{ROS}$ and $\angle \mathrm{POS}$.

Sum of measurement of $\angle \mathrm{POR}$ and $\angle \mathrm{QOS}$ is $110°$. What is the measurement of $\angle \mathrm{POS}, \angle \mathrm{QOS}, \angle \mathrm{QOR} \mathrm{and} \angle \mathrm{POR}$?

Write the measurement of $\angle \mathrm{BOD}, \angle \mathrm{BOC}$ and $\angle \mathrm{AOC}$.

From the given figure: write the names of two vertically opposite angles.

From the given figure: write the names of two supplementary angles.

From the given figure: write the names of two complementary angles.

Deepa draws two straight lines $\mathrm{PQ}$ and $\mathrm{XY}$ which intersect at $\mathrm{O}$. Let's Measure the vertically opposite angles by protractor.

Write the measurement of the angles from the figure given below :

$$\begin{gathered} \angle \mathrm{TOS}=20° \\ \angle \mathrm{POQ}=60° \\ \angle \mathrm{POT}=? \\ \angle \mathrm{ROP}=? \\ \angle \mathrm{QOS}=? \end{gathered}$$

Write the measurement of the angles from the figure given below :

$$\begin{gathered} \angle 1=35° \\ \angle 2=? \\ \angle 3=? \\ \angle 4=? \end{gathered}$$

If sum of the measurement of $\angle POR$ and $\angle QOS$ is $100°$ then $\angle ROQ=125°$.

If the measurement of $\angle BOD=60°$.

Find the measurement of the angles from the given figure,

If $\angle TOS=20°$ and $\angle ROQ=60°$ then $\angle POT=40°$.