Pairs of Angles

In the given figure, $BC\parallel FG$, $AB\parallel DE\parallel GH$ and $CD\parallel EF$. The measure of $\angle DEF$ is

In the given figure, $\angle PQR=\angle PRQ$, then prove that $\angle PQS=\angle PRT$

In the adjoining figure, $ABCD$ is a rectangle and diagonals $AC$ and $BD$ intersect at $O$. If $\angle AOB= 118°$, find:

(a) $\angle ABO$

(b) $\angle ADO$

(c) $\angle OCB$

In the figure if $l\parallel m$ and $\angle 1=2x+y$,$\angle 4=x+2y$ and $\angle 6=3y+{20}^0$. Find $\angle 7$ and $\angle 8$.

In the given figure, $x$ is greater than $y$ by one third of a right angle. Find the values of $x$ and $y$.

Find $p+q+r+s$ (in degree) from the given figure.

In the given figure, sides $AB\text{ and} AC$ of $∆ABC$ are extended to $E \text{and} D$ respectively. If $x>y$, show that $AB>AC$.

Find $\angle AOB \mathrm{and} \angle FOE$,

In the given figure sides $QP$ and $RQ$ of $△PQR$ are produced to points $S$ and $T$ respectively. If $\angle SPR=135°$and $\angle PQT=110°$, find $\angle PRQ$.

In the figure, AB is parallel to CD, find $x$.

In the given figure, the value of $x$ is

What is linear pair?

In the adjoining figure, two lines $AB \mathrm{and} CD$ intersect at $O$. Find the value of $x, \mathrm{and} \angle AOC, \angle COB$.

Find the unknown angles in the following figure:

 In the adjoining figure, $ABCD$ is a parallelogram in which $\angle BAO=35°,\angle DAO=40°$ and $\angle COD=105°.$ If $\angle ABO=k°$, then find the value of $k$.

In the adjacent figure, it is given that, $\mathrm{BC}\parallel \mathrm{DE}, \angle \mathrm{BAC}=35° \mathrm{and} \angle \mathrm{BCE}=102°$. If the measure of $\angle \mathrm{BCA}=k°$, find $k$.

In the figure, the value of $x$ is

In the given figure, two straight lines $PQ$ and $RS$ intersect each other at $O$. If $\angle POT=75°$, find the values of $a, b$ and $c$ respectively.

In figure, $\mathrm{AB}\parallel \mathrm{CD}$ and transversal $\mathrm{EF}$ cuts them at $\mathrm{G}$ and $\mathrm{H}$ respectively. If $\mathrm{\angle }\mathrm{AGE}=110°$, then $\angle \mathrm{GHD}=$

In the adjoining figure, if $\mathrm{l}\parallel \mathrm{m}$ and $\mathrm{n}$ be the transversal, then the relation between $\angle 1$ and $\angle 2$ is