Vertically Opposite Angles

In the above figure, the lines $BC$ and $DE$ intersect at $A$ and $\angle BAD:\angle CAD=2:3$. Find $\angle BAD, \angle CAD, \angle CAE$ and $\angle BAE$.

If lines $PQ$ and $RS$ intersect at point $T$, such that $\angle PRT=39°, \angle RPT=71°$ and $\angle TSQ=55°$. Find $\angle SQT$.

If two lines intersect each other, then the vertically opposite angles are equal.

In the above figure, the lines $PQ$ and $RS$ intersect at $O$ and $\angle POR:\angle POS=5:4$. Find $\angle POR, \angle POS, \angle QOS$ and $\angle ROQ$.

Two angles are said to be_____ if they are adjacent angles formed by two intersecting lines. (corresponding / vertically opposite / linear)

$\angle 2$ and $\angle 1$ are vertically opposite angles.

Write the name of all linear pair angles.

Write all vertically opposite angles.

If two lines intersect at a point, and if one pair of vertically opposite angles are acute angles, then the other pair of vertically opposite angles are _____ angles.

Statements $a$ and $b$ are as given below:

Statement $a$: If two lines intersect, then the vertically opposite angles are equal. 

Statement $b$: If a transversal intersects, two other lines, then the sum of two interior angles on the same side of the transversal is $180°$.

It is given that $\angle XYZ=2x°$ and $\angle PQR=(8x-20)°,$ find the value $x$, if they are supplementary.

Pair of vertically opposite angles are always supplementary.

When two straight lines intersect, a pair of _____ opposite angles are formed.

 Using the figure, answer the following questions

  What is the measure of angle  $x°$?

Name the following pairs of angles (adjacent angles $/$ vertically opposite angles $/$ linear pair).

$\angle \mathrm{b}$ and $\angle \mathrm{c}$.

In Figure, if $AB$, $CD$ and $EF$ are straight lines, then $x+y+z=$

In Figure, if $AB$, $CD$ and $EF$ are straight lines, then $x=$

In the given figure, two straight lines $AB$ and $CD$ intersect at a point $O$ and $\angle AOC=50°$. Then $\angle BOD=$?

If two lines intersect, the vertically opposite angle are

In the below figure, what is the value of $3x$?