- Vertical Angles: Non-adjacent angles formed when two lines intersect. They are congruent (equal to each other).
- Linear Pair: Adjacent angles formed when two lines intersect. They are supplementary (add up to 180).
Firstly, since (2x + 1) and (x + 26) are vertical angles, we can solve them as such:
[tex] 2x+1=x+26\\x+1=26\\x=25 [/tex]
Next, add 25 to 26 to get the (x + 26) value:
[tex] 25+26=51 [/tex]
51° and (3y - 60) are a linear pair. Using this info, we can solve for it as such:
[tex] 3y-60+51=180\\3y-9=180\\3y=189\\y=63 [/tex]
In short, x = 25 and y = 63.
