Properties of Parallel Lines

Author:Maharashtra Board
9th Maharashtra Board
IMPORTANT

Important Questions on Properties of Parallel Lines

EASY
IMPORTANT

In the figure, line l line m and line n line p. Find a, b, c  from the given measure of an angle.

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EASY
IMPORTANT

In the figure, line p line q and line l and line m are transversals. Measures of some angles are shown. Hence find the measures of a, b, c, d.

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EASY
IMPORTANT

In the figure, if ray BAray DEC=50° and D=100°. Find the measure of ABC in degrees °.

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EASY
IMPORTANT

In the figure, line AB line CD and line PQ is transversal. Measure of one of the angles is given. Hence find the measures of PRB in degrees °.


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EASY
IMPORTANT

In the figure, line AB line CD and line PQ is transversal. Measure of one of the angles is given. Hence find the measures of DTQ in degrees °. (Write the numerical value)

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EASY
IMPORTANT

In the figure, line AB line CD and line PQ is transversal. Measure of one of the angles is given. Hence find the measures of CTQ in degrees °.


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EASY
IMPORTANT

In the figure, line AB line CD and line PQ is transversal. Measure of one of the angles is given. Find the measures of ART. (Write the answer without degrees °  symbol)


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EASY
IMPORTANT

In the figure, line RP line MS and line DK is their transversal. DHP=85°.

The measure of angle MGK is _____ °.

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EASY
IMPORTANT

In the figure, line RP line MS and line DK is their transversal. DHP=85°. If the measure of angle HGS=x°, then write the value of x.

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EASY
IMPORTANT

In the figure, line RP line MS and line DK is their transversal. DHP=85°.

Find the measure of angle PHG in degree °.

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EASY
IMPORTANT

In the figure, line RP line MS and line DK is their transversal. DHP=85°. If the measure of RHD is z°, then find z.

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MEDIUM
IMPORTANT

In the figure, ray AE ray BD, ray AF is the bisector of EAB and ray BC is the bisector of ABD. Prove that line AF line BC.

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MEDIUM
IMPORTANT

A transversal EF of line AB and line CD intersects the lines at point P and Q, respectively. Ray PR and ray QS are parallel and bisectors of BPQ and PQC. respectively. Prove that line AB line CD

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MEDIUM
IMPORTANT

In the figure, if ab and xy, then prove that line l line n.

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EASY
IMPORTANT

In figure, if ab, then prove that line l line m.

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EASY
IMPORTANT

In figure, sides of PQR and XYZ are parallel to each other. Prove that, PQRXYZ.

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EASY
IMPORTANT

In the figure, y=108° and x=71° . Are the lines m and n parallel? Justify?

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