In the below fig, lines l1, and l2 intersect at O, forming angles as shown in the figure. If x = 45. Find the values of x,
Question:
In the below fig, lines l1, and l2 intersect at O, forming angles as shown in the figure. If x = 45. Find the values of x, y. z and u.
Solution:
Given that
X = 45°, Y = ?, Z = ?, u = ?
Vertically opposite angles are equal
Therefore z = x = 45
z and u are angles that are a linear pair
Therefore, z + u = 180
z = 180 - u
u = 180 - x
u = 180 - 45
u = 135
x and y angles are a linear pair
x+ y = 180
y = 180 - x
y =180 - 45
y = 135
Hence, x = 45, y = 135, z = 135 and u = 45