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CBSE - Class 9 > Mathematics > Lines and Angles Worksheets

Free CBSE - Class 9 Mathematics - Lines and Angles worksheets

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Here is a Sample Worksheet for you to Practice. Download this worksheet to see the answers.

1.

In Fig. 6.24, if $AB \parallel CD$, $EF \perp CD$ and $\angle GED = 126^{\circ}$, find $\angle AGE$, $\angle GEF$ and $\angle FGE$.

2.

In Fig. 6.25, if $PQ \parallel ST$, $\angle PQR = 110^{\circ}$ and $\angle RST = 130^{\circ}$, find $\angle QRS$. [Hint : Draw a line parallel to ST through point R

3.

In Fig. 6.26, if $AB \parallel CD$, $\angle APQ = 50^{\circ}$ and $\angle PRD = 127^{\circ}$, find $x$ and $y$.

4.

In Fig. 6.27, PQ and RS are two mirrors placed parallel to each other. An incident ray AB strikes the mirror PQ at B, the reflected ray moves along the path BC and strikes the mirror RS at C and again reflects back along CD. Prove that $AB \parallel CD$

5.

In Fig. 6.13, lines AB and CD intersect at O. If $\angle AOC + \angle BOE = 70^{\circ}$ and $\angle BOD = 40^{\circ}$, find $\angle BOE$ and reflex $\angle COE$.

6.

In Fig. 6.14, lines XY and MN intersect at O. If $\angle POY = 90^{\circ}$ and $a : b = 2 : 3$, find $c$.

7.

In Fig. 6.15, $\angle PQR = \angle PRQ$, then prove that $\angle PQS = \angle PRT

8.

In Fig. 6.16, if $x + y = w + z$, then prove that AOB is a line.

9.

In Fig. 6.17, POQ is a line. Ray OR is perpendicular to line PQ. OS is another ray lying between rays OP and OR. Prove that $\angle ROS = \frac{1}{2} (\angle QOS - \angle POS)$.

10.
It is given that $\angle XYZ = 64^{\circ}$ and XY is produced to point P. Draw a figure from the given information. If ray YQ bisects $\angle ZYP$, find $\angle XYQ$ and reflex $\angle QYP$.
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Chapters in CBSE - Class 9 Mathematics

Surface Area and Volumes Worksheet Number Systems Worksheet Coordinate Geometry Worksheet Polynomials Worksheet Linear Equations in Two Variables Worksheet Introduction to Euclid’s Geometry Worksheet Triangles Worksheet Quadrilaterals Worksheet Areas of Parallelograms and Triangles Worksheet Circles Worksheet Constructions Worksheet Heron’s Formula Worksheet Statistics Worksheet Probability Worksheet

Free Lines and Angles Worksheets

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