26. Think About a Plan The perimeter of a kite is 66 cm. The length of one of its sides is 3 cm less than twice the length of another. Find the length of each side of the kite.
    • Can you draw a diagram?
    • How can you write algebraic expressions for the lengths of the sides?
27. Reasoning If KLMN is an isosceles trapezoid, is it possible for K M ¯ k m bar to bisect ∠ L M N angle l m n and ∠ L K N ? angle l k n question mark Explain.

Algebra Find the value of the variable in each isosceles trapezoid.

28. 
29. 
30. 

    QS = x + 5

    RP = 3x + 3

Algebra Find the lengths of the segments with variable expressions.

Algebra Find the value(s) of the variable(s) in each kite.

Bridge Design The beams of the bridge below form quadrilateral ABCD. Δ A E D ≅ Δ C D E ≅ Δ B E C cap delta eh e d approximately equal to cap delta c d e approximately equal to cap delta b e c and m ∠ D C B = 120 . bold italic m angle d c b equals 120 .

37. Classify the quadrilateral. Explain your reasoning.
38. Find the measures of the other interior angles of the quadrilateral.

Reasoning Can two angles of a kite be as follows? Explain.

39. opposite and acute
40. consecutive and obtuse
41. opposite and supplementary
42. consecutive and supplementary
43. opposite and complementary
44. consecutive and complementary

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