Question

In the given figure, AB || CD. Find the values of x ,y,z

Answer 1

SOLUTION:

From the given figure, we have

x+y = 180° [linear pair] ........(1)

z+y = 125° [ exterior angle property]......(2)

Also, z+75° = 125°[ alternate interior angles]

So, z = 50°

Putting z = 50° in eq (2), we get

y = 125° -50° = 75°

Putting y = 75° in eq(1), we get

x = 180°-75° = 105° .

So, x = 105°

y = 75°

z = 50° .

Hope this helps

Answer 2

Answer:

x=105°

y=75°

z=50°

Step-by-step explanation:

y = 75° (interior alternate angles are equal)

x+y = 180° (linear pair)(Angles on a straight line)

x = 180°-75°

x = 105°

y+z = 125° ( sum of interior angles=exterior angle)

z = 125°-75°

z = 50°

I hope this will help you