find the measure of X.

i really need help fast!

Question

find the measure of X.

i really need help fast!

stellabella146 · Answer

attachment

mathmale · Answer

(62+x) degrees equals 115 degrees.  Why?

Find x.

stellabella146 · Answer

@mathmale how do i start?

stellabella146 · Answer

62 - 115 = 53

stellabella146 · Answer

@mathmale 180 - 115 = 65. is that it? and if so where does 62 fit in that?

tkhunny · Answer

After applying the Alternate Interior Angles theorem, try solving the equation.

Mathmale spelled it out for you.  Write EXACTLY what mathmale said.

stellabella146 · Answer

62+x = 115.

tkhunny · Answer

There it is.  Solve away!

stellabella146 · Answer

is x equal to 62?

stellabella146 · Answer

62+x=115, 115 - 62 = 53. i really don't get it

tkhunny · Answer

What is there not to get.  Part of your education is learning when you are done.

stellabella146 · Answer

how does x not equal 53 in 62+x=115

tkhunny · Answer

Who said it doesn't?

stellabella146 · Answer

:/

stellabella146 · Answer

wait so 62+x=115 and x is 53 in that. that would be 62 is done bc it was part of 115. so 180-115 = 65

stellabella146 · Answer

would mean*

tkhunny · Answer

Alternate interior Angles says: 62 + x = 115
Algebra says x = 115 - 62 = 53
Recognition says we're done.

563blackghost · Answer

Look at the diagram, You see that there is a transversal in between the two parallel lines. Based off the `Alternate Interior Angles Theorem` Angle P is equal to Angle R.

So...

$\Large\bf{\angle P = \angle R}$

Substitute.

`Remember Angle P is made up of angle x and angle 62`.

$\LARGE\bf{ 62 + x = 115}$

Simplify.

563blackghost · Answer

Alternate Interior Angles Theorem:|dw:1482297878505:dw|

stellabella146 · Answer

so 62 = x? 62 is congruent to x

563blackghost · Answer

Not quite.

Look at what tkhunny said above my post.

563blackghost · Answer

$\color{#0cbb34}{\text{Originally Posted by}}$ @tkhunny
Alternate interior Angles says: 62 + x = 115
Algebra says x = 115 - 62 = 53
Recognition says we're done.
$\color{#0cbb34}{\text{End of Quote}}$

tkhunny · Answer

x = 53º, if you want to fancy it up.

stellabella146 · Answer

so in this whole thing x is 53?

563blackghost · Answer

Yes sir/ma'am.

stellabella146 · Answer

so to go back to the original question, x is 53 in that?

563blackghost · Answer

That was the only problem up so, Yes.

stellabella146 · Answer

what about 180?

563blackghost · Answer

180?

stellabella146 · Answer

with angles you always do something with 180 right?

563blackghost · Answer

180 is not needed in this problem. If we were to use 180 by assuming that the angle across is also equal 62 we would have `62 + 62 + x = 180` in which we simplify to `180-124=x` and get `x = 56` which would not be correct.

stellabella146 · Answer

ok thx

563blackghost · Answer

np ;)