(need answer asap and show work) 4.) use the diagram below to answer parts a-c. (4 points total) m∠hjl=(26x-7)° and m∠ljk=(10x+7)° a.) what is the value of x? b.) what is m∠hjl? c.) what is m∠ljk

Both angles are supplementary, which means that they both add up to 180°. To find the value of x, simply put the two equations together like this:

A.)

The -7 and +7 cancel each other out, which leaves us with

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180 is 36 times bigger than x, so divide both sides by 36:

x = 5

Now plug in the value of x:

B.) 123°

C.) 57°

To check your work, add them both up.

I hope you found this helpful. : )

x=5

m∠HJL =123°

m∠LJK=57°

Step-by-step explanation:

m∠HJL=(26x-7)° and m∠LJK=(10x+7)°

∠HJL and ∠LJK are linear pair . the sum of angles = 180 degree

m∠HJL+ m∠LJK=180 degree

Combine like terms and solve for x

Divide by 36 on both sides

x=5

m∠HJL=(26x-7)=26(5)-7=123°

m∠LJK=(10x+7)=10(5)+7=57°

28

step-by-step explanation:

8+8+6+6

9x