Question

Find the value of x. Give reasons to justify your solution. b ∈ ac, d ∈ fa

Answer 1

x = 27

Explanation:

∠ ABD and ∠ BDE are alternate angles and are congruent, then

∠ BDE = 72°

∠ ADB + ∠ BDE + ∠ EDF = 180° ( sum of angles on a straight line ), that is

2x + 72 + 2x = 180

4x + 72 = 180 ( subtract 72 from both sides )

4x = 108 ( divide both sides by 4 )

x = 27