Help finding value of angles. I forgot how to do it *~*

Question

i_need_help_please · Answer

I need to find angle 1,2 and 3. If i have 1 and two i can find 3.

vishweshshrimali5 · Answer

|dw:1458832665276:dw|

vishweshshrimali5 · Answer

Notice these teeny tiny lines.. ?|dw:1458832701543:dw| 

Can you tell me what they mean?

i_need_help_please · Answer

i thought it meant that the sides were congruent but apparently not..

vishweshshrimali5 · Answer

That means that the sides having that symbol are equal... So, AB = BC

i_need_help_please · Answer

oh yeah okay im right.. in the picture you drew they werent congruent so it messed me up... i know how to do this question ive done it before i just forgot could you just tell me the formula im good in math i dont need a long explanation.

vishweshshrimali5 · Answer

|dw:1458832869673:dw|

Okay so first thing first...

1. Angles opposite to equal sides are equal
2. Sum of all angles of triangle = 180

This will give you angle BAC = angle BCA

vishweshshrimali5 · Answer

and then using point 2 you can find the angles

i_need_help_please · Answer

i know all of this i just need the formula.. i forgot the formula. i know everything else i know than angle 1 and 3 are congruent by alternate interior angles theorem i just need the formula

i_need_help_please · Answer

hold up.. is 2 and 3 congruent or 1 and 3?

i_need_help_please · Answer

if 1 and 3 is congruent then this is really simple and i feel dumb for asking for help but 2 and 3 needs a formula.

vishweshshrimali5 · Answer

Actually both are congruent i.e. 1 and 3; 2 and 3; 2 and 4; 1 and 4

i_need_help_please · Answer

okay. yeah i got it.

vishweshshrimali5 · Answer

Can you solve the problem now?

i_need_help_please · Answer

all the angles are 32

i_need_help_please · Answer

i knew all of this i just got mixed up and thought it was more complicated than it was

vishweshshrimali5 · Answer

Great! The answer is correct... And yeah that happens with me as well sometimes :)

i_need_help_please · Answer

can you help me with this one?

vishweshshrimali5 · Answer

You are given that LM = 1/2 (AB+DC)

vishweshshrimali5 · Answer

You know the value of AB, LM and DC.. just plug in the values and solve for x...

i_need_help_please · Answer

yeah give me a second im going to try

vishweshshrimali5 · Answer

Sure

i_need_help_please · Answer

i can plug it in fine. its when i have to solve it i get confused on what to do first

vishweshshrimali5 · Answer

Okay tell me what you have got so far

i_need_help_please · Answer

is x=7?

vishweshshrimali5 · Answer

Perfect!!

i_need_help_please · Answer

okay thanks

vishweshshrimali5 · Answer

:) Your welcome