Angles formed by Transversal

Corresponding angle converse theorem states that:

Find the value of $x$. (Give the value without degree symbol).

In the given figure, if $PQ\parallel RS$ and $QR\parallel TS$, then the value of $a$ is _____$°$.

In the given figure, $PQ\parallel ST$. Then, the value of $x+y$ is _____$°$.

In the given figure, if $QP\parallel SR$, then the value of $a$ is

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 $180°$.

In the given figure, $a$ and $b$ are

In the given figure, $PQ\mathit{\parallel }SR$ and $SP\mathit{\parallel }RQ$. Then, angles $a$ and $b$ are respectively

In the given figure, $PA\parallel BC\parallel DT$ and $AB\parallel DC$. Then, the values of $a$ and $b$ are respectively.

In the given figure, if $AB\parallel CD, \angle APQ=50°$ and $\angle PRD=130°$, then $\angle QPR$ is

In the given figure, $\overline{CD}\parallel \overline{EF}$. The alternate interior angle to $\angle CMN$ is

Assume that given lines are parallel to each other. Find the measure of $b$:

Assume that lines are parallel to each other. Find the value of $x$.

In given figure, $\mathrm{l}, \mathrm{m}$ and $\mathrm{n}$ are parallel lines intersected by a transversal $\mathrm{p}$ at $\mathrm{X}, \mathrm{Y}$ and $\mathrm{Z}$ respectively. Values of $\angle 2$ and $\angle 3$ are