Question

I REALLY NEED HELP WITH THIS

Answer 1

`\tt Step-by-step~explanation:`

Since ∠4 and ∠8 are corresponding angles, then that means they are congruent.

PART 1

`\tt Step~1:`

m∠4: (12x + 3)

m∠8: (15x - 15)

Since they have the same measure, we can set up the equation like this:

`\tt (12x+3)=(15x-15)`

`\tt Step~2:`

Our goal is to isolate the variable x. To do that, we need to move everything to one side and keep x on its own on one side of the equation.

Let's subtract 12x from both sides to move it to the right.

`\tt 12x(-12x)+3=15x(-12x)-15\\3=3x-15`

`\tt Step~3:`

Then, we add 15 from the right side and on the left side of the equation.

`\tt 3(+15)=3x-15(+15)\\18=3x`

`\tt Step~4:`

Finally, we divide both sides by 3 to get our value for x.

`\tt(3x)/(3)=x\\(18)/(3) =6\\x=6`

PART 2

`\tt Step~5:`

Now, we have to plug in x in the expression for m4.

`\tt 12(6)+3\\72+3\\75`

`\large\boxed{\tt Our~final~answer:~m~4=75}`

**The numbers in parenthesis with a + or - tells you to add or subtract ONLY HERE. If you see this in another problem, they are most likely telling you to multiply.