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"In the figure if \\( t \\| _ { m } \\) and \\( \\angle 1 = ( 2 x + y ) ^ { \\circ } , \\angle 4 = ( x + 2 y ) \\) and \\( \\angle 6 = ( 3 y + 20 ) ^ { \\circ } . \\) Find \\( \\angle 7 \\) and\nA 8 .\n(Hint Solve using simultancous linear equations)\n\\[ \\frac { 5 } { 8 } \\int _ { 7 } ^ { 6 } \\frac { 1 } { 7 } \\cdot \\mathrm { m } \\]\nIf a transversal intersects two lines such that the biscrior of a pair of corresponding angles is"

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Similar Questions

Q1

In the figure if $l | | m$ and $∠ 1 = (2 x + y)^{\circ}$ , $∠ 4 = (x + 2 y)^{\circ}$ and $∠ 6 = (3 y + 20)^{\circ}$ . Find $∠ 7$ and $∠ 8$ .

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Q2

If a transversal intersects two lines such that the bisectors of a pair corresponding angles are parallel, then that the two lines are parallel.

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Q3

If a transversal intersects two lines such that a pair of corresponding angles is equal, then the two lines are parallel to each other.

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Q4

If a transversal intersects two lines such that the bisectors of a pair of corresponding angles are parallel, then prove that the two lines are parallel.

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Q5

Fill in the blanks in each of the following to make the statement true:
(i) If two parallel lines are intersected by a transversal then each pair of corresponding angles are ___
(ii) If two parallel lines are intersected by a transversal, then interior angles on the same side of the transversal are ___
(iii) Two lines perpendicular to the same line are ___ to each other.
(iv) Two lines parallel to the same line are to ___ each other.

(v) If a transversal intersects a pair of lines in such a way that a pair of alternate angles are equal, then the lines are ___
(vi) If a transversal intersects a pair of lines in such a way that the sum of interior angles on the same side of transversal is $180^{0}$ , then the lines are ___

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