In the below fig. three coplanar lines intersect at a point O, forming angles as shown in the figure.
`
Question:
In the below fig. three coplanar lines intersect at a point O, forming angles as shown in the figure. Find the values of x, y, z and u.
Solution:
Vertically opposite angles are equal
So ∠SOD = z = 90°
∠DOF = y = 50°
Now, x + y + z = 180 [Linear pair]
x + y + z = 180
90 + 50 + x = 180
x = 180 - 140
x = 40
Hence values of x, y, z and u are 40, 50, 90 and 40 respectively in degrees.
.jpg)