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Answer:
see explanation
Step-by-step explanation:
∠ A and ∠ FCE are corresponding angles and are congruent , then
∠ A = 150°
∠ FCE and ∠ C are vertically opposite angles and are congruent , then
∠ C = 150°
∠ FCE and ∠ ECB are adjacent angles on a straight line and sum to 180°
∠ ECB = 180° - ∠FCE = 180° - 150° = 30°
∠ E = 180° - (30 + 45)° ← sum of angles in a triangle
∠ E = 180° - 75° = 105°
∠ CBE and ∠ D are same- side interior angles and sum to 180° , then
∠ D = 180° - 45° = 135°