A difficult problem, learn to give directions, thank you.

Connect the CD, then ∠B+∠E=∠ 1+∠2 (equal to 180- a pair of diagonal).

∴∠A+∠B+∠C+∠D+∠E

=∠A+∠ 1+∠C+∠D+∠2

= 180 (the sum of the interior angles of the triangle is 180)

Connect the CD, then ∠B+∠E=∠ 1+∠2 (equal to 180- a pair of diagonal).

∴∠A+∠B+∠C+∠D+∠E

=∠A+∠ 1+∠C+∠D+∠2

= 180 (the sum of the interior angles of the triangle is 180)