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The People's Education Edition added and solved the problem of 1 1 on page 55.
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Question 1 1:

The internal angle of this quadrilateral is 360 degrees. If one pair of diagonals are complementary, that is, add up to 180, then the other pair of diagonals is also complementary.

According to the proportional relationship, the ratio of two non-adjacent internal angles is 2: 7, and because their sum is 180,

It is easy to know that the degrees of the two angles are 40 140 respectively.

Then the degrees of the other two angles are 60 120 respectively.