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?
Answers
The measure of x and JR are 19 and 33 respectively
From the given parallelogram,
KM = 2KR
Given the following
KM = 3x - 5KR = x + 7Hence;
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
Answer: 19 and 33
Step-by-step explanation: best of luck to all - Logan Hunter
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