Question

In the given figure, if AB is parallel to CD, then find x

Answer 1

Answer:

x = 130°

Step-by-step explanation:

It is given that,AB is parallel to CD

When we extend CD passing through AE , the point of intersection be P.

Therefore in triangle PCE, <P = 105° (since  <A = <P =  105°,corresponding angle. )

To find angle <ECP

Consider triangle ECP,

<E = 25° (given)

<P = 105°

Therefore <ECP = 180 - (105 + 25) = 180 - 130 =  50°  (Angle sum property)

To find x

x and <ECP are linear pairs. then <ECP + x = 180°  

Therefore x = 180 - 50 = 130°  

Answer 2

Answer:

therefore

x = 105 degree