Finding x and y of an angle.

*Given:*

Ray* ST *bisects angle RSV

m angle RST = *x *+ *y*

m angle TSV = 2x - 2y

m angle RSV = 64°

*Find: x and y *

The graph forms adjacent angles.

First, I tried isolating x or y by multiplying 2 (x + y) so I can get 2x + 2y. Then I get 4x = 64?

Not sure. I am completely lost. I don't know whether to combine x + y + 2x - 2y = 64 or substitute.

Please help.

The answers are x = 24 and y = 8.

Re: Finding x and y of an angle.

Hey Cake.

Can you outline what the equations correspond to? Are they the lines that intersect each other? It is a little hard to follow from your description.

Re: Finding x and y of an angle.

Quote:

Originally Posted by

**Cake** Given: Ray ST bisects angle RSV

m angle RST = x + y

m angle TSV = 2x - 2y

m angle RSV = 64°

Find: x and y

The answers are x = 24 and y = 8.

From the given you know that

$\displaystyle \\ x+y=32^o\\2x-2y=32^o$

Re: Finding x and y of an angle.

Yeah, I didn't know when you have "bisects" you automatically take half of the measure of the whole angle.

Re: Finding x and y of an angle.

Quote:

Originally Posted by

**Cake** Yeah, I didn't know when you have "bisects" you automatically take half of the measure of the whole angle.

What kind of geometry study are you doing?

All of geometry totally depends upon definitions.

Never try to do a geometry problem if you have any doubt about the definition of any term used in the question.

Re: Finding x and y of an angle.

I am doing college level plane geometry. I spent an hour trying to figure out this problem but couldn't figure out that I had to equal them to 32.

Re: Finding x and y of an angle.

Quote:

Originally Posted by

**Cake** I am doing college level plane geometry. I spent an hour trying to figure out this problem but couldn't figure out that I had to equal them to 32.

Well in common English *bisect* means to divide is half. Look it up in a standard dictionary.