plzz help me please
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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°
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