134k views
5 votes
Help, Parallelogram JKLM is shown.

What is m
What is JR?

Help, Parallelogram JKLM is shown. What is m What is JR?-example-1
User BinW
by
9.1k points

1 Answer

5 votes

Answer:

First answer is 22

Second answer is 7

Before I explain the answer, first visualize triangle KJM

angle MKJ is congruent to angle JMR by alternate interior angles, Note how we have 2 angles measures for triangle MKJ.

Next solve for angle KJM using angle sum theorem (all angles in a triangle must equal 180)

72+27+x= 180

x=81

We now know that angle KJM is 81 however the question ask for the other angle created the line segment.

angle KJM - angle KJL

81-56 = angle LJM

22 = angle LJM

Second question

If you know the properties of a parallelogram you should know that its vertices are congruent to itself.

First you solve for x

x+7 = 3x -5

7=2x -5

12=2x

12/2=x

6=x

Next find the value of JL by plugging in the x values

4(6) - 10 = JL

24 - 10 = JL

14 = JL

Finally you divide line JL by half, since line JR and RL and congruent

14/2=JR

7=JR

Cheers

User Ganesh Jadhav
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories