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There is a problem of verifying ∠ 1+∠2=∠3+∠4+∠5 in the second volume of Grade One Mathematics in Hebei Education Edition.
As shown in the figure, intersection B is a straight line M parallel to A, intersection C is a straight line N parallel to A, and intersection D is a straight line P parallel to A..

Evidence: ∵a∥m∴∠3=∠ABF.

∵m∥n∴∠FBC=∠BCn

∫n∨p？ ∴∠nCD=∠CDG

∫p∨b？ ∴∠GDE=∠5

∠∠ABF+∠FBC =∠ 1，∠NCn+∠nCD=∠4，∠CDG+∠GDE=∠2

∴∠3+∠4+∠5=∠ 1+∠2

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