Question

If AB||EF and EF||CD, then find the value of x.​

Answer 1

x = 40°

Explanation:

∠ FEC and ∠ ECD are same- side interior angles and sum to 180° , that is

150° + y = 180° ( subtract 150° from both sides )

y = 30°

∠ BCD and ∠ ABCare alternate angles and are congruent , so

x + y = 70° , that is

x + 30° = 70° ( subtract 30° from both sides )

x = 40°