Question

Calculate the value of 'X' from the following figure. ​

Answer 1

Answer:

x  =  120°

Step-by-step explanation:

in ΔABC,

∠ABC + ∠BCA  + ∠BAC  =  180°                  [angle sum property of a triangle]

40°  + ∠BCA  +  30°    =  180°

∠BCA =  110°

Now,

∠BCA  +  ∠DCE  = 180°                          [ linear pair]

110° + ∠DCE  =   180°

∠DCE  = 70°

In ΔDCE,

∠DCE  +  ∠CDE  +  ∠CED  =  180°                [ angle sum property of a triangle]

70°  +  50°  + ∠CED  =  180°

∠CED  =  60°

From the figure,

∠CED  +  x  = 180°                                     [ linear pair ]

60°   +  x   =  180°

So,   x = 120°