[SPLIT] given: <TRS is a straight angle, <TRX is a right angle,

[tml23]

A mom trying to help remember geometry:
^ X
1. given: <TRS is a straight angle
<TRX is a right angle
m<TRS=2x + 5y
m<XRS = 3x + 3y

solve for x and y <______________________________________________________>
T R S

( WIth line going straight from r to x)

Sorry it has been way too long and I can't remember how to help
My diagram is not showing correctly -- should be straight line with ray RX being straight up

 

[Denis]

Re: Basic Geometry help

Please start your own thread (else your problem will usually not be noticed).

You will need to post in clearer fashion. Perhaps ask someone who knows how?

 

[Mrspi]

Re: Basic Geometry help

A mom trying to help remember geometry:
^ X
1. given: <TRS is a straight angle
<TRX is a right angle
m<TRS=2x + 5y
m<XRS = 3x + 3y

solve for x and y <______________________________________________________>
T R S

( WIth line going straight from r to x)

Sorry it has been way too long and I can't remember how to help
My diagram is not showing correctly -- should be straight line with ray RX being straight up

If TRS is a straight angle, then m<TRS = 180 (this comes from the definition of a straight angle)

And, since you are told that m<TRS = 2x + 5y,
2x + 5y = 180 (this comes from substituting 2x + 5y for m<TRS in the statement "m<TRS = 180")

You are also given that <XRS is a right angle, so m<XRS = 90 (from the definition of a right angle)
And, since you are told that m<XRS = 3x + 3y, you can substitute 3x + 3y for m<XRS in the above equation to get
3x + 3y = 90

Now you have two equations in two variables:

2x + 5y = 180
3x + 3y = 90

Solve this system using your favorite method for solving a system.