Hey guys, I need some help with Geometry, I would really appreciate it!

If m ∠ 6 = 65˚, what is m ∠ 1?

Question

Hey guys, I need some help with Geometry, I would really appreciate it!

If m ∠ 6 = 65˚, what is m ∠ 1?

anonymous · Answer

attachment

anonymous · Answer

65˚ 

 135˚ 

 35˚ 

 115˚

ganeshie8 · Answer

hint : $\angle 4$ and  $\angle 6$ are alternate interior angles

anonymous · Answer

Can you show me how to set up the formula?

ganeshie8 · Answer

yes sure: )
so wat do we knw about alternate interior angles ?

ganeshie8 · Answer

when lines are parallel, alternate interior angles are equal,

so,
$\large \angle 4 = \angle 6  $

$\large \angle 4 = 65$

anonymous · Answer

I know it's sum may come to 180 degrees, I am sorry, I am really bad at this, I eventually catch on. Lol Ok, Let me look at my notes, so I can try it out.

ganeshie8 · Answer

ha good :)

now, see that $\angle 1 \ and\  \angle 4$ are sitting on a straight line,
so they add up to 180 !

ganeshie8 · Answer

$\large \angle 1 + \angle 4  = 180$

$\large \angle 1 + 65   = 180$

ganeshie8 · Answer

you can solve $\angle 1$

anonymous · Answer

Can you show me it?

ganeshie8 · Answer

$\large \angle 1 + \angle 4 = 180$

$\large \angle 1 + 65 = 180$

subtract 65 both sides

ganeshie8 · Answer

$\large \angle 1 + \angle 4 = 180$

$\large \angle 1 + 65 = 180$

subtract 65 both sides

$\large \angle 1 + 65 = 180$
-65                   -65

ganeshie8 · Answer

$\large \angle 1 + \angle 4 = 180$

$\large \angle 1 + 65 = 180$

subtract 65 both sides

$\large \angle 1 + 65 = 180$
-65             -65


$\large \angle 1 = 180 - 65$

ganeshie8 · Answer

$\large \angle 1 + \angle 4 = 180$

$\large \angle 1 + 65 = 180$

subtract 65 both sides

$\large \angle 1 + 65 = 180$
-65             -65


$\large \angle 1 = 180 - 65$

$\large \angle 1 = 115$

ganeshie8 · Answer

see if the calculation makes some sense

anonymous · Answer

Yes, do I have to do anything with 115, or work on the other calculation?

ganeshie8 · Answer

we're done right ?
q is asking to find <1 oly

anonymous · Answer

Ohh, so the answer is 115 degrees? Thank you!

ganeshie8 · Answer

yes, yw :)