what is the tricky way for solving the question of class 9th ncert math of Lines and Angles chapter of ncert of exercise 6.1of math give me the best and simple way for solving this question in easy and simple way of question no 4 In Fig. 6.16, if x+y = w+z, then prove that AOB is a line
For proving AOB is a straight line, we will have to prove x+y is a linear pair
i.e. x+y = 180°
We know that the angles around a point are 360° so,
x+y+w+z = 360°
In the question, it is given that,
x+y = w+z
So, (x+y)+(x+y) = 360°
2(x+y) = 360°
∴ (x+y) = 180° (Hence proved).