$(1)$ $A$ quadrilateral has ......... pairs of consecutive angles.
$(2)$ The sum of measures of all the four angles of a quadrilateral is ...........
$(2)$ The sum of measures of all the four angles of a quadrilateral is ...........
(N/A) $(1)$ $A$ quadrilateral has $4$ pairs of consecutive angles. In a quadrilateral $ABCD$,the pairs are $(A, B), (B, C), (C, D),$ and $(D, A)$.
$(2)$ The sum of the interior angles of a quadrilateral is $360^{\circ}$. This is derived from the angle sum property of a polygon,where the sum of interior angles is $(n - 2) \times 180^{\circ}$. For a quadrilateral,$n = 4$,so $(4 - 2) \times 180^{\circ} = 2 \times 180^{\circ} = 360^{\circ}$.
$(2)$ The sum of the interior angles of a quadrilateral is $360^{\circ}$. This is derived from the angle sum property of a polygon,where the sum of interior angles is $(n - 2) \times 180^{\circ}$. For a quadrilateral,$n = 4$,so $(4 - 2) \times 180^{\circ} = 2 \times 180^{\circ} = 360^{\circ}$.
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