How to solve this geometry?
Step by step solution please.

This is a relatively complex problem and it took me a good 20 minutes to solve, I included a sketch I made myself while im solving this problem hope it helps with the explanation. (the dotted lines are my drawings, also I labeled the points just look at my graph)

Now to find <x, we can use the exterior angles theorem a couple of times.

<x=<p+<AGE

<x=30 degrees + <AGE

Now use the theorem again to find <AGE

<AGE=<q+<BIG

Now use substitution for <q and for <AGE

<x=30 degrees+60 degrees+ <BIG

We put this to the side for now and try solve for <CHD which is not very difficult

<CHD=180-45-20=115

We can also clearly figure out <HFI using vertical angles theorem.

<HFI=<Y

Because they all form a triangle we can conclude that <y+<BIG=180 degrees-<FHI= 180-115=65 degrees

substitution again

<x+<y=30+60+<BIG+<HFI (remember <HFI = <y vertical angles theorem)

<x+<y=30+60+65 (remember how we did before these 2 angles adds up to 65?)

<x+<y=155 degrees

Now please don't hate me on this, I'm sure there is more efficient ways to explain this problem, this is just my way from trial and error.

Tip for next time you are stuck on a geometry problem, don't be afraid to draw the graph again on paper and add lines to it!

You won't get everything perfect the first time you try but the more you practice the more comfortable you are with these problems, Hope my explanation helped!

**Just a note would you mind telling me where you got this problem form, its pretty challenging :)

step-by-step explanation:

this woman was an important writer and propagandist during the american revolution. she was a member of the committee of correspondence (in fact the committee was formed in her home) and was an advisor to many of the revolutionary leaders, including george washington and john adams. who was this revolutionary woman?

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".