9th grade geometry (solving unknowns in a triangle w/ parallel lines)

[high tiger]

im really struggling with trying to get to find the unknowns & finding reasoning for my answers along this topic, i dont want answers; i want help 😓😓

[crisp raptor]

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[hardy yew]

OK so I am assuming the lines are parralel what do you know about parralel lines?

[high tiger]

they always run tgt & they dont touch

[hardy yew]

OK so SU and ST are equal what info can you get from that?

[high tiger]

is it about the trianglee?

isoceles?

[hardy yew]

Yes do you know about angles in isosceles triangles?

[high tiger]

two of the angles r equal and one isnt

[hardy yew]

Yes so the other angle in thr triangle(beside the 50deg ) is same as?

[high tiger]

which other angle

the one that isnt equal?

[high tiger]

ohh

i have no idea

im struggling with finding it

[hardy yew]

.

The angles opposite to equal sides are equal

[high tiger]

im processing that

yeah

[hardy yew]

So this angle should be x right?

[high tiger]

yes

[hardy yew]

Now you have one equation in x and y which is?

[high tiger]

wait are u asking me to solve it orr

[hardy yew]

What's the sum of angles in a triangle

[high tiger]

180

[hardy yew]

so write the equation

In terms of x and y

[high tiger]

okay

[hardy yew]

what'd you get?

[high tiger]

30

[hardy yew]

Uh

What

[high tiger]

er

💔

[hardy yew]

2x + 4y = 180

[high tiger]

yess..

[hardy yew]

Do you understand how i wrote this?

[high tiger]

yep

I did that at first but uh

[hardy yew]

Now coming to parralel lines

[high tiger]

Ohh yeah?

OH

[hardy yew]

What is this angle equal to?

[high tiger]

4y

[hardy yew]

In terms of other unknowns

Yes

Good

[high tiger]

okok

[hardy yew]

So what's the sum of angles in a line

[high tiger]

180

[hardy yew]

Write a equation

[high tiger]

For the tv lines?

[hardy yew]

Yeah

[high tiger]

4y + x + 50 = 180

[hardy yew]

Yes nice

[high tiger]

mashallah 🤲

[hardy yew]

So you have 2 equation

[high tiger]

thank u brother

[hardy yew]

Can you solve them?

[high tiger]

what are the two equations

the triangle one and the tv one?

[hardy yew]

Yes

[high tiger]

yeah

lemmie solve

[hardy yew]

2x + 4y = 180
x + 4y + 50 = 180

[high tiger]

4y + 2x = 180
x = 50 (alternating angles)
4y + 2(50) = 180
4y = 80
Y = 20

[hardy yew]

Yeah

Now find z

[high tiger]

kk

z + y (20) = 180
Z = 160

[hardy yew]

No
z+4y = 180

[high tiger]

oh sorry

alright

[hardy yew]

So, z = 100

[high tiger]

Okok

[hardy yew]

👍

[high tiger]

thank you saur muchh

[hardy yew]

Np

[high tiger]

🫶

[bronze nest]

@high tiger

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