Hello sir i want to know the best solution of the question from exercise 6.2of math of Lines and Angles chapter of class 9^{th} 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

Share

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°