Question

I really need help on this. >.

Answer 1

∠ D = 48°

Explanation:

Since AC ~ BC then Δ ABC is isosceles and the base angles are equal, thus

∠ B = ∠ C = 69°, then

∠ ACB = 180° - (69 + 69)° = 180° - 138° = 42° ( sum of angles in Δ )

∠ DCE = ∠ ACB = 42° ( vertical angles )

∠ D = 180° - (90 + 42)° = 180° - 132° = 48°