Solution-Class-8-Mathematics-Chapter-2-Parallel Lines and Transversals-MSBSHSE

Parallel Lines and Transversals

Maharashtra Board-Class-8-Mathematics-Chapter-2-

Solution

Practice Set 2.1

Question 1.

In the adjoining figure, each angle is shown by a letter. Fill in the boxes with the help of the figure.

Corresponding angles.

(1) ∠ p and [  ]  

(2) ∠ q and [  ]  

(3) ∠ r and [  ]

(4) ∠ s and [  ]

Interior alternate angles.

(5) ∠ s and [  ]

(6) ∠ w and [  ]

Answer :

Question 2.

Observe the angles shown in the figure and write the following pair of angles.

(1) Interior alternate angles

(2) Corresponding angles

(3) Interior angles

Answer :

Practice Set 2.2

Question 1.

Choose the correct alternative.

(a) In the adjoining figure, if line m ll line n and line p is a transversal then find x.

(A) 135° (B) 90° (C) 45° (D) 40°

Answer :

(b) In the adjoining figure, if line a ll line b and line l is a transversal then find x.

(A) 90° (B) 60° (C) 45° (D) 30°

Answer :

Question 2.

In the adjoining figure line p ll line q. Line t and line s are transversals.

Find measure of Ð x and Ð y using the measures of angles given in the figure.

Answer :

Question 3.

In the adjoining figure. line p ll line q. line l ll line m. Find measures of ∠ a, ∠ b and ∠ c using the measures of given angles. Justify your answers.

Answer :

 Question 4.

In the adjoining figure, line a || line b. line l is a transversal. Find the measures of ∠ x, ∠ y, ∠ z using the given information.

Answer :

Question 5.

In the adjoining figure, line p || line l || line q. Find ∠ x with the help of the measures given in the figure.

Answer :

Extra Information :

If a transversal intersects two coplaner lines and a pair of

  • corresponding angles is congruent then the lines are parallel.
  • alternate angles is congruent then the lines are parallel.
  • interior angles is supplementary then the lines are parallel.

 

 Practice Set 2.3

 Question 1.

Draw a line l Take a point A outside the line. Through point A draw a line parallel to line l.

Answer :

Question 2.

Draw a line l. Take a point T outside the line. Through point T draw a line parallel to line l.

Answer :

Question 3.

Draw a line m. Draw a line n which is parallel to line m at a distance of 4 cm from it.

Answer :

Useful Links

Main Page : – Maharashtra Board Class 8th Mathematics   – All chapters notes, solutions, videos, test, pdf.

Notes : Chapter 2 : Parallel lines and transversals

Next Chapter : Chapter 3– Indices and Cube root –online Solution

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