Find the m

Question

Find the m<YAX in the figure below. 
A. 76 degrees
B. 88 degrees
C. 92 degrees
D. 104 degrees

anonymous · Answer

attachment

dessyj1 · Answer

Hi.

dessyj1 · Answer

So, what do you know about angles that are shown on facing opposite directions.

anonymous · Answer

Vertical angles are always congruent

dessyj1 · Answer

congruent = the same.

dessyj1 · Answer

By the way, wouldn't that make horizontal angles congruent as well? lol.

anonymous · Answer

<WAZ = <YAX
3X+7 =4X-16

anonymous · Answer

I am so terrible at these types of problems, oh gosh

anonymous · Answer

CAN YOU SOLVE
3X+7 = 4X-16

dessyj1 · Answer

I believe these types of questions just require you to find the relationship between two things.

anonymous · Answer

I know to add the 4x and 3x together but that's about it

anonymous · Answer

can i see the whole problem plz

anonymous · Answer

attachment

dessyj1 · Answer

Usually, the goal of algebra is to isolate the x-variable.

dessyj1 · Answer

So, in order to isolate the x-variable so it is the only thing on one side of the equal sign, what would you have to do to the two constants: -16 and 7?

anonymous · Answer

3x+7=4x-16
x=23
3(23)+7
69+7
76

anonymous · Answer

Add -16 and 7 I think

midhun.madhu1987 · Answer

Angle YAX = Angle WAZ - Vertically Opposite Angles

So, 3x + 7 = 4x - 16

3x - 4x = -16 - 7

Then Find the value of x. Once you get x, then substitute it in (3x + 7), which gives you the value of angle YAZ.

Hope this clarifies.

dessyj1 · Answer

Yes. Now that would leave you with something that looks like x=23 because we started like

3x+7=4x-16

7=x-16

23=x

dessyj1 · Answer

Does what @midhun.madhu1987  said make sense?

anonymous · Answer

yes now you plug in x and find the m<YAX

anonymous · Answer

then you should get your answer