Parallel Lines with Transversal

Q.

If one of the angles of a triangle is 130° then find the angle between the bisectors of the other two angles .

Q.

In the given figure, AB||CD. Find the value of x.

Q.

In the figure, AB||CD || EF and GH || KL. The measure of $\angle$ HKL is

Q.

In the given figure, AB||CD and BC||ED. Find the value of x.

Q.

In the given figure, AB || CD.If $\angle BAO={60}^{\circ }$ and $\angle OCD={110}^{\circ }$ then $\angle AOC=?$

$\left(a\right){70}^{\circ }$

$\left(b\right){60}^{\circ }$

$\left(c\right){50}^{\circ }$

$\left(d\right){40}^{\circ }$

Q.

In the given figure, AB || CD || EF. Find the value of x.

Q.

If two straight lines are perpendicular to the same line, prove that they are parallel to each other.

Q.

In the figure, show that AB ||EF.

Q.

In a triangle $ABC,$ of $2\angle A=3\angle B=6\angle C$ , then the measurement of $\angle B$ is?

Q.

In the given figure, if PQ || ST, ∠PQR = 110º and ∠RST = 130º, find ∠QRS.

[Hint: Draw a line parallel to ST through point R.]

Q. Question 3
In the given figure, if $AB||DE,\angle BAC={35}^{\circ }and\angle CDE={53}^{\circ },find\angle DCE.$

Q.

In the figure, AB and CD are parallel lines and transversal EF intersects them at P and Q respectively. If $\angle APR={25}^{\circ },\angle RQC={30}^{\circ }$ and $\angle CQF={65}^{\circ },$ then

Q.

In the given figure, AB || CD. Find the value of x, y and z.

Q.

In the figure, if $l_1||l_2$, what is the value of y?

Q.

In each of the figures given below, AB || CD. Find the value of x in each case.

Q.

In the figure, if AB||HF and DE||FG, then the measure of $\angle$ FDE is

Q.

In the figure, if $BP\left|\right|CQ$ and AC= BC, then the measure of x is

Q.

In the given figure, AB || CD. Find the value of x.

Q.

In the given figure, if AB || CD, then find the value of x.

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1. ${235}^{\circ }$

2. ${285}^{\circ }$

3. ${220}^{\circ }$

4. ${275}^{\circ }$

Q.

In the given figure, AB||CD. If $\angle EAB={50}^{\circ }$ and $\angle ECD={60}^{\circ }$ then $\angle AEB=?$

$\left(a\right){50}^{\circ }$

$\left(b\right){60}^{\circ }$

$\left(c\right){70}^{\circ }$

$\left(d\right){55}^{\circ }$

Q.

In the figure, if lines l and m are parallel lines, then x =

Q.

In the figure, if AB || CD, then value of x is

Q.

In the given figure, AB||CD. If $\angle APQ={70}^{\circ }$ and $\angle PRD={120}^{\circ }$ then $\angle QPR=?$

$\left(a\right){50}^{\circ }$

$\left(b\right){60}^{\circ }$

$\left(c\right){40}^{\circ }$

$\left(d\right){35}^{\circ }$

Q.

In the figure, AB || CD and P is any point shown in the figure. Prove $\angle ABP+\angle BPD+\angle CDP={360}^0$

Q.

Two lines are respectively perpendicular to two parallel lines Show that they are parallel to each other.

Q.

In the given figure, AB||CD. If $\angle AOC={30}^{\circ }$ and $\angle OAB={100}^{\circ }$ then $\angle OCD=?$

$\left(a\right){130}^{\circ }$

$\left(b\right){150}^{\circ }$

$\left(c\right){80}^{\circ }$

$\left(d\right){100}^{\circ }$

Q.

In the figure, if line segment AB is parallel to the line segment CD, what is the value of y?

1. 12

2. 20

3. 15

4. 18

Q.

In the given figure, $\angle X=62º,\angle XYZ=54º$. If YO and ZO are the bisectors of $\angle XYZ$ and $\angle XZY$ respectively of ΔXYZ, find $\angle OZY$ and $\angle YOZ$.

Q.

In the figure, if lines l and m are parallel, then x=

Q.

In the given figure, BA || ED and BC || EF. Show that $\angle ABC=\angle DEF$.