In Fig. 6.5, find the value of x for which the lines l and m are parallel
Solution:
Given, the line l and m are parallel.
The figure represents two lines cut by a transversal n.
We have to find the value of x.
We know that if a transversal cuts two parallel lines, then the sum of the interior angles lying on the same side of the transversal is supplementary.
From the figure,
The interior angles on the same side of the transversal are x and 44 degrees.
So, x + 44° = 180°
x = 180°- 44°
x = 136°
Therefore, the value of x is 136°
✦ Try This: Can two obtuse angles be supplementary?
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 6
NCERT Exemplar Class 9 Maths Exercise 6.2 Problem 6
In Fig. 6.5, find the value of x for which the lines l and m are parallel
Summary:
The figure represents two parallel lines l and m cut by a transversal n. The value of x is 136°. As the sum of the interior angles lying on the same side of the transversal is always supplementary
☛ Related Questions: