Question

(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

Answer 1

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.) $26x - 7 + 10x + 7 = 180$

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

$10x + 26x = 180$

--> $36x = 180$

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

$x = \frac{180}{36}$

x = 5

Now plug in the value of x:

B.) $26(5) - 7 = 130 - 7 =$ 123°

C.) $10(5) + 7 = 50 + 7 =$ 57°

To check your work, add them both up. $123 + 57 = 180 degrees$

I hope you found this helpful. : )

Answer 2

Answer:

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

$(26x-7) +(10x+7)=180$

Combine like terms and solve for x

$36x=180$

Divide by 36 on both sides

x=5

m∠HJL=(26x-7)=26(5)-7=123°

m∠LJK=(10x+7)=10(5)+7=57°