Question

In the given fig. AB parallel to CD find the value of x,y,z

Answer 1

y=75 degree(alternate interior angle)
y+z=125(exterior angle property)
75+z =125
z=125-75
z=50 degree
y+x=180(linear pair)
75+x=180
x= 180-75
x= 105 degree

Answer 2

y=75°, x= 105°, z=50°.

y=75°

(alternate interior angle)

y+z=125

(exterior angle sum property)

75+z =125

z=125-75

z=50°

y+ x=180

(linear pair of lines)

75+x=180

x= 180-75

x= 105°

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