Question

plzz help me please​

Answer 1

Answer:

∠A = y + 60° = 110°

∠B = x + 60° = 100°

∠C = 3x - 40° = 80°

∠D = 3y - 80° = 70°

Step-by-step explanation:

Since AB || CD,

∠A + ∠D = 180°    and    ∠B + ∠C = 180°.

∠A + ∠D = 180°  =>  y + 60° + 3y - 80° = 180°  =>  4y = 200°  =>  y = 50°

∠B + ∠C = 180°  =>  x + 60° + 3x - 40° = 180°  =>  4x = 160°  =>  x = 40°

Therefore the four angles are

∠A = y + 60° = 110°

∠B = x + 60° = 100°

∠C = 3x - 40° = 80°

∠D = 3y - 80° = 70°