Question

find angle D and angle A​

Answer 1

Answer:

From ΔCDE,

∠DCE + ∠D + ∠ E = 180°               [ Angle sum property of a triangle ]

30° + ∠D + 70° = 180°

30° + 70°  +  ∠D = 180°

100° +∠D = 180°

∠D = 180°-100°

∠D = 80°

Now,

∠DCE = ∠BCA = 30°      [ vertically opposite angles]

Again from ΔACB,

∠A + ∠B + ∠ACB = 180°             [ Angle sum property of a triangle ]

∠A + 60° + 30° = 180°    

∠A + 90° = 180°

∠A + 90°= 180°- 90°

∠A =90°

Answer 2

Answer:

Step-by-step explanation:

There's another trick but no calculation

∠A = ∠E ( alternate interior )

∠A = 70°

∠D = ∠B ( alternate interior )

∠D = 60°

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