Question

compute the value of the following​

Answer 1

Answer:

x = 88°

Step-by-step explanation:

AB||CD

AD is transversal

<BAD = <CDA. [Alternate Angle Theorem]

<CDA = 52°

In triangle CDE

<CDA+<ECD+<CED = 180°.

[Sum of all angles of a triangle is 180°]

52°+40°+x = 180°

92°+x = 180°

x = 180°-92°

x = 88°