Given the figure as marked, find the value of x.

1 6
11 12

Question

Given the figure as marked, find the value of x.

	1		6
	11		12

anonymous · Answer

attachment

anonymous · Answer

Since two angles are congruent, x+14 is the base of an isosceles triangle. 
Because of that, two legs 5x-10 and 3x+12 are congruent(means they are equal.)

Good luck!

anonymous · Answer

agh im so confused atm :/

superdavesuper · Answer

u notice the bottom two angles are the same right?

anonymous · Answer

yess

superdavesuper · Answer

Do u know what an isosceles triangle is?

anonymous · Answer

yess

superdavesuper · Answer

Because the two angles are equal, it is an isosceles triangle ok?

anonymous · Answer

okay

superdavesuper · Answer

So the two sides are the same length ok?

anonymous · Answer

yes okay

superdavesuper · Answer

Almost there now - can u set up the equation for the two sides being the same length plz?

anonymous · Answer

okay gotcha

superdavesuper · Answer

Got it? good job :)

anonymous · Answer

yeah lol 
 thank you

anonymous · Answer

i got 12 xD i hope that was correct

superdavesuper · Answer

wait wait - write out ur equations here plz??

anonymous · Answer

well i did the who 180 -30-30 = 120;/ soo confused haha im trying though or did i have to do 5x-10=3x+12?

superdavesuper · Answer

second eqn is the right one to use :)

anonymous · Answer

ohh okay here let me try then ill double check with u :)?

superdavesuper · Answer

hurry - we dont have all night!







JK - sure let me know what u find :)

anonymous · Answer

hey now! lol

anonymous · Answer

i got 11 :D!!

superdavesuper · Answer

Good job - dats the right answer :)

anonymous · Answer

yay :) okay i have other ones kinda like it but theirs only one side of the triangle with an x value.. :/

superdavesuper · Answer

Post it here or start a new post :)

anonymous · Answer

ill post it here :)

anonymous · Answer

Given the figure as marked, find the value of x.

	5		9
	20		22

superdavesuper · Answer

Almost exactly the same thing - notice the two angles are the same so now the iso. triangle is lying sideway =p

anonymous · Answer

haha true but idk how id start the equation if its only 3x+5

superdavesuper · Answer

What about the other side which is the same length?

anonymous · Answer

its 32?

superdavesuper · Answer

Nope...write out the equation plz?

anonymous · Answer

ohhhh wait i forgot i could do 3x+5=32 right??

superdavesuper · Answer

yes :)

anonymous · Answer

x=9??!!

superdavesuper · Answer

Yup :)

anonymous · Answer

Given the figure as marked, if HJ ≅ IJ, what is the measure of ∠I?

	20°		40°
	60°		80°

superdavesuper · Answer

iso trangle so u should know what to do now...

superdavesuper · Answer

I need to go very soon so plz write back quickly...

anonymous · Answer

okay

anonymous · Answer

its okay u can go :) i appreciate ur help and patients i can try to finish it :)

superdavesuper · Answer

OK good luck! if u have trouble, just start a new post!

anonymous · Answer

alrighty :D thank you once again!