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In the given figure, lines \( A B \) and \( C D \) are parallel. Line MN intersects the lines AB and \( \mathrm { CD } \) at points \( P \) and \( Q , \) respectively \( 4 x + 15 \) \( 6 x + 35 \)

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Similar Questions

Q1

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

∠

BPQ and

∠

PQC respectively.

Prove that line AB || line CD.

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Q2

In the figure, AB and CD are parallel lines and transversal EF intersects them at P and Q respectively. If $∠ A P R = 25^{\circ}, ∠ R Q C = 30^{\circ}$ and $∠ C Q F = 65^{\circ},$ then

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Q3

As shown in above figure AB and CD are two parallel lines and a line XY passes through them and intersects AB at P & CD at Q. If $∠ D Q X = x^{\circ}$ then $∠ A P Y =$ ___.

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Q4

In the given figure

A B

and

C D

are parallel lines intersected by a transversal PQ at L and M respectively. If

∠ L M D = 35^{\circ}

, find

∠ A L M

and

∠ P L A

.

[2 marks]
[RD Sharma - Ex 14.2 Q3]
[Transversal of parallel lines]

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Q5

AB and CD are parallel straight lines. EG intersects the lines AB and CD at F and G respectively. If

∠ A F E = 60^{\circ}

and the straight line HI bisects

∠ E G D

, then

∠ D G I

is:

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