SOLUTION: Figure KLMN is an isosceles trapezoid. Diagonal KM measures 35a+100. Diagonal LN measures 15a+150, find the value of a.

Algebra ->  Parallelograms -> SOLUTION: Figure KLMN is an isosceles trapezoid. Diagonal KM measures 35a+100. Diagonal LN measures 15a+150, find the value of a.      Log On


   

Question 370544: Figure KLMN is an isosceles trapezoid. Diagonal KM measures 35a+100. Diagonal LN measures 15a+150, find the value of a.
Answer by ewatrrr(24785) About Me  (Show Source):
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Hi,

*Note: the Diagonals of an isosceles trapezoid are equal.

Diagonal KM measures 35a+100 & Diagonal LN measures 15a+150

35a + 100 = 15a + 150

20a = 50

a = 50/20 = 5/2 = 2 1/2