katherineromero2
katherineromero2 katherineromero2
  • 23-03-2018
  • Mathematics
contestada

< J and < M are base angles of isosceles trapezoid JKLM. If measure < J = 20x +9 and m < M= 14x +15, find measure < K.

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wolf1728
wolf1728 wolf1728
  • 23-03-2018
The base angles of an isosceles trapezoid are equal. Therefore:
20x + 9 = 14x + 15
6x = 6
x = 1
So, the base angles both equal 29 degrees.
In a trapezoid, the sum of the angles attached to the same leg always = 180 degrees.
Therefore, angle K and angle L equal 151 degrees.


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