Q1 of 11 Page 11

Choose the correct alternative.

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



• Given: Line m || line n and line p is a transversal


• To find: The value of x.


Now in the given figure we have 3x and x. 3x and x form a pair of interior angle.


Now by the property of interior angels we know that, each pair of interior angles formed by two parallel lines and their transversal is of supplementary angles i.e. 180°.


∴ x+3x=180(∵ Property of interior angles.)


⇒ 4x=180


⇒


∴ The value of x is 45°.

More from this chapter

All 11 →
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 [ ]


 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


 1

Choose the correct alternative.

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



 2

In the adjoining figure line p || line q. Line t and line s are transversals. Find the measure of ∠x and ∠y using the measures of angles given in the figure.