Track / Stage 4 / 252 of 340 #512 of 1964

Problem 512

AMC 12 late, AIME early

Combinatorics Difficulty 4.9 Find the answer

As shown in the figure, $\angle A+\angle B+\angle C+\angle D=$ $\qquad$ $^\circ$ .

Translate the text above into English, please keep the original text's line breaks and format, and output the translation result directly.

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Official solution

Answer: 220

Source: NuminaMath-1.5, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.