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

Administrator

Leave a comment

Please enter comment.
Please enter your name.