Answer:
x = 11
Step-by-step explanation:
∠ EAB = ∠ AED = 4x ( alternate angles )
∠ AEB and ∠ GEB are adjacent angles on a straight line and sum to 180° , so
∠ AEB + 125° = 180° ( subtract 125° from both sides )
∠ AEB = 55°
The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.
∠ EBC is an exterior angle of the triangle , then
∠ EBC = ∠ AEB + ∠EAB , that is
9x = 55 + 4x ( subtract 4x from both sides )
5x = 55 ( divide both sides by 5 )
x = 11
