Question

Math help please

Answer 1

@dude

Answer 2

82?

Answer 3

Uh I am assuming \\(\angle 3\) is this part


That is not greater than 90º

Answer 4

yes

Answer 5

Im confused on it

Answer 6

Do you know what the sum of angles 1 and 2 are?

Answer 7

yes 98

Answer 8

Since it states that s \(\bf bisects\) the lines, it is spilt into 2 equal angled sides

Answer 9

49

Answer 10

@dude

Answer 11

@Vocaloid can you please help im confused

Answer 12

@CC12 if \(m \parallel n\), what what kind of line is \(t\)?

Answer 13

i dont know

Answer 14

Ever heard of a transversal?

Answer 15

yes

Answer 16

That's what \(t\) is; a transversal. Do you remember the kinds of angles that are created as a result of a transversal intercepting two parallel lines?

Answer 17

Are you ready to continue @CC12

Answer 18

yes

Answer 19

Okay, so basically the transversal \(t\) creates corresponding angles here:

Answer 20

Angle \(m\) corresponds to angle \(DEF\) Your diagram makes it difficult to describe angle \(n\) but it includes angle \(3\). Do you understand this?

Answer 21

angles \(m\) and \(n\) are corresponding angles.

Answer 22

Likewise for the angles depicted in the diagram. I hope you're not too confused, but I'll help you out since the problem was setup to confuse you

Answer 23

yes i sorta understand

Answer 24

Let's say \(\angle m = \angle 1 + \angle 2\) and \(n = \angle 3 + \angle 5\)

Answer 25

ok

Answer 26

\(m = n\) In other words \(\angle 1 + \angle 2 = \angle 3 + \angle 5\)

Answer 27

Oops. I didn't see that they already included an angle 5. smh

Answer 28

Now I have to change everything to angle six.

Answer 29

\(\angle 1 + \angle 2 = \angle 3 + \angle 6\)

We already know the measure of \(\angle 1\) and \(\angle 2\)

Answer 30

I should also mention that after reviewing you should be familiar with alternate exterior angles.

Answer 31

find angle 3 and 6 now or

Answer 32

Alternate Exterior Angles are also congruent

Answer 33

In other words \(\angle1 + \angle 2 = \angle 4 + \angle 5 \)

Answer 34

This is where it gets complicated, because we have to make sure we distinguish which angles are congruent to which

Answer 35

I'll explain later, but basically \(\angle 1\) corresponds to \(\angle 5\) and \(\angle 2\) corresponds to \(\angle 4\)

Answer 36

If you were familiar with vertical angles, then you'd also know that \(\angle 4 \cong \angle 3\)

Answer 37

So in essence, \(\angle 2 \cong \angle 4 \cong \angle 3\)

Answer 38

sorry i was writing the problem out and i got angle 3 =49 degrees

Answer 39

How did you get that? Show your work please

Answer 40

If I'm being completely honest though, there is no way to actually prove those angles are truly congruent.

Answer 41

you add angle 1 and angle 2 which is 98 angle 4 is 98/2= 49 degrees

Answer 42

Yeah, that's probably right. I should never have taken a nap. That was my reasoning the first time.

Answer 43

I forgot my own reasoning, but I suspect @dude helped you with this.

Answer 44

you get 49 degrees because angle 3 and 4 are vertical angles

Answer 45

i think thats right

Answer 46

You don't even need vertical angles for it.

Answer 47

Yeah haha

Take a nap, we need a good nights rest ;p

Answer 48

oh you dont

Answer 49

Nope, you don't. You just need to know that \(\angle 1\) and \(\angle 2\) corresponds to the blank angle plus angle 3

Answer 50

Since \(s\) bisects the blank angle and angle 3 are congruent

Answer 51

oh ok

Answer 52

\(\angle 1 + \angle 2 = 98\) and \(\angle b + \angle 3 = 98\) as well. But \(\angle b = \angle 3\) so you can just divide by \(2\) to get the result

Answer 53

Anyways, I've confused you enough.

Answer 54

Thank you so so much for explaing it to me