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

Leave a comment

Close

Click here to get exam-ready with eSaral

For making your preparation journey smoother of JEE, NEET and Class 8 to 10, grab our app now.

Download Now