SOLUTION: The angles are supplementary angles. Determine the measures of ∡1 and ∡2. Can you provide me with some assistance, please? Thank you! Here is a photo of those angles

Algebra ->  Angles -> SOLUTION: The angles are supplementary angles. Determine the measures of ∡1 and ∡2. Can you provide me with some assistance, please? Thank you! Here is a photo of those angles      Log On


   

Question 478011: The angles are supplementary angles. Determine the measures of ∡1 and ∡2. Can you provide me with some assistance, please? Thank you!
Here is a photo of those angles:
http://www.flickr.com/photos/62474130@N03/6010245374/
Also, does this geometry symbol mean "measured angle" (Go to the link to see the symbol)?
http://www.flickr.com/photos/62474130@N03/6009691687/
Answer by MathLover1(20855) About Me  (Show Source):
You can put this solution on YOUR website!
The angles are supplementary angles; so, they add up to 180
∡1 + ∡2=180
we also know that ∡1=7x-12 and ∡2=x
%287x-12%29%2Bx=180...solve for x
8x-12=180
8x=180%2B12
8x=192
x=192%2F8
x=24....this is the measure of ∡2


now we can find the measure of ∡1

∡1=7x-12
∡1=7%2A24-12
∡1=168-12
∡1=156
so, your angles are ∡2=24 and ∡1=156

re symbol: yes, this geometry symbol mean "measured angle"