Hello sir i want to know the best solution of the question from exercise 6.2of math of Lines and Angles chapter of class 9th give me the best and easy for solving this question how i solve it of question no. 2 In Fig. 6.29, if AB CD, CD EF and y : z = 3 : 7, find x
It is known that AB CD and CDEF
As the angles on the same side of a transversal line sums up to 180°,
x + y = 180° —–(i)
Also,
O = z (Since they are corresponding angles)
and, y +O = 180° (Since they are a linear pair)
So, y+z = 180°
Now, let y = 3w and hence, z = 7w (As y : z = 3 : 7)
∴ 3w+7w = 180°
Or, 10 w = 180°
So, w = 18°
Now, y = 3×18° = 54°
and, z = 7×18° = 126°
Now, angle x can be calculated from equation (i)
x+y = 180°
Or, x+54° = 180°
∴ x = 126°