Question

如图，已知l1∥l2，AB⊥l1，∠ABC=130°，则∠α=______

如图，已知l1∥l2，AB⊥l1，∠ABC=130°，则∠α=______．

Answer 1

解：过点B作EF∥l₁∥l₂
∵EF∥l₁∥l₂，AB⊥l₁
∴∠ABF=90°
∵∠ABC=130°
∴∠FBC=40°
∵EF∥l₁∥l₂
∴∠FBC=∠α=40°
故答案为：40°