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Parallelogram JKLM is shown.

Parallelogram JKLM is divided into 4 triangles by K M and J L which intersect at point R. Angle L M K is 72 degrees, angle K J L is 56 degrees, and angle J M K is 27 degrees.

If KR = x + 7, KM = 3x − 5, and JL = 4x − 10, what are the values of x and JR?

Respuesta :

abidemiokin

The measure of  x and JR are 19 and 33  respectively

From the given parallelogram,

KM = 2KR

Given the following

  • KM = 3x - 5
  • KR = x  + 7

Hence;

3x - 5  = 2(x+7)

3x - 5 = 2x + 14

3x - 2x = 14 + 5

x = 19

Similarly, JL = 2JR

JR = JL/2

JR = 4x-10/2

JR = 4(19)-10/2

JR = 66/2

JR = 33

Hence the measure of  x and JR are 19 and 33  respectively

Learn more on parallelograms here: https://brainly.com/question/1834702

Ver imagen abidemiokin

Answer: 19 and 33

Step-by-step explanation: best of luck to all - Logan Hunter