Question

find the value of the lateral angle

Answer 1

90°
hope this help you....

Answer 2

Answer:

90°

Step-by-step explanation:

Refer the attached figure

AD||BG

BG||CE

So, AD||BG||CE

∠DAB =∠ABF (Alternate interior angles)

Now ∠DAB =∠ABF = 30°

∠FBC =∠BCE (Alternate interior angles)

Now ∠FBC =∠BCE = 60°

∠ABC = ∠ABF+∠FBC

∠ABC = 30°+60°

∠ABC = 90°

So, x = 90°

Hence the lateral angle is  90°