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AB and CD are respectively the smallest ...

`AB and CD` are respectively the smallest and longest sides of a quadrilateral `ABCD` (see Fig. 7.50). Show that `∠ A > ∠ C` and `∠ B > ∠ D.`

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Given: AB and CD are respectively the smallest and longest sides of a quadrilateral ABCD
To prove: ∠A > ∠C and ∠B > ∠D
Let's join vertex A to C as shown below.
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