Answer:
∠ Z = 80°
Explanation:
Since the quadrilaterals are similar , then corresponding angles are congruent
the sum of the angles in a quadrilateral = 360°
sum the angles in FECG and equate to 360°
∠ F + 100° + 60° + 120° = 360°
∠ F + 280° = 360° ( subtract 280° from both sides )
∠ F = 80°
∠ Z and ∠ F are corresponding angles , then
∠ Z = ∠ F = 80°