Question

in the given figure ab parallel CD find the value of x​

Answer 1

Answer:

AB || CD [ given ]

<A = <C [ corresponding angle ]

75° = 75°

<C + <C' = 180° [ straight angle or linear pair ]

75° + <C' = 180°

<C' = 180° - 75°

= 105°

Now,

sum of all angles of triangle = 180°

<C' + <F + <E = 180°

105° + 30° + x = 180°

x = 180° - 135°

= 45°

....... hope it helps you..............