finding angles without side lengths

Question

I must find three angles. I am given a figure. This figure is in the shape of an upside-down v with two lines going through it. They each have an arrows coming out of the right side and pointing in that direction. There is a number for almost every angle, but no side lengths. Is it possible for me to solve this problem? Or should I give simply a formula. If you need to see the figure, please respond to this with your email address, and I will scan and send the image to you. Thank you.

Answer 1

If there are no side lengths given, you wouldn't be able to find them out, because the same angle relationships could exist no matter the size of the figure. If you had just one side and all or most of the angles, you could probably figure out the rest of the sides.

 

So yeah, for now it seems like your solution would just be in the form of formulas to show the RATIOS of sides to one another based on what you know about the angles. And the few angles that are missing, you can probably figure them out by using rules of triangles, complementary and supplementary and vertical angles, etc.

 

Good luck!

 

Matt