Work out angle BXC.
Give a reason for each angle you work out.

∠ BXC = 70°

Step-by-step explanation:

∠ XBC and ∠ AXY are corresponding angles and are congruent, then

∠ XBC = 55°

Since XB = XC , then Δ XBC is isosceles and the 2 base angles are congruent.

∠ BXC = 180° - (55 + 55)° ← angle sum of triangle

∠ BXC = 180° - 110° = 70°

x = 30°

Step-by-step explanation:

∠ CGE = ∠ FGD = 30° ( vertical angles )

∠ CGB = 90° , then

x + 30° = 90° ( subtract 30° from both sides )

x = 60°