Question 2. In Fig. 6.29, if AB || CD, CD || EF and y : z = 3 : 7, find x. Chapter 6: Lines and Angles Maths Class 9 solutions are developed for assisting understudies with working on their score and increase knowledge of the subjects. Question 2. In Fig. 6.29, if AB || CD, CD || EF and y : z = 3 : 7, find x. is solved by our expert teachers. You can get ncert solutions and notes for class 9 chapter 6 absolutely free. NCERT Solutions for class 9 Maths Chapter 6: Lines and Angles is very essencial for getting good marks in CBSE Board examinations
Question 2. In Fig. 6.29, if AB || CD, CD || EF and y : z = 3 : 7, find x.
Solution:
Given that y : z = 3 : 7
Let ∠ y = 3a
Then ∠z = 7a
∠x and ∠z are alternate interior angles of parallel lines so that
∠x = ∠z …(1)
Sum of interior angle on the same side of the transversal is always = 180°
So that
x + y = 180°
plug the value of x from equation (1)
z + y = 180°
plug the value of z and y we get
7a + 3a = 180°
10 a = 180°
a = 180°/10
a = 18
y = 3a = 3x18 = 54°
z = 7a = 7x18 = 126°
x = z = 126°
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