Suppose angles 1 and 2 are vertical. What is the value of...

[Cinnamon]

Suppose Angle 1 and 2 are vertical angles. What is the value of Y if M of angle 1 equals y + 82 and M of 2 equals 6Y-8. What are the measures of 1 angles 1 and 2

 

[happy]

That makes no sense... Is that the whole problem? Were there any pictures included?

 

[Cinnamon]

re-written

Suppose <1 and <2 are vertical angles. What is the value of y if m(<1) = y + 82 and m(<2) = 6y - 8? What are the measures of <1 and <2?

Note: "m(<1)" means "the measure of angle 1".

 

[soroban]

Re: OKAY THEN

Hello, Cinnamon!

Do you know anything about vertical angles?

Suppose $\displaystyle \angle 1$ and $\displaystyle \angle 2$ are vertical angles.

What is the value of $\displaystyle y$ if $\displaystyle m\angle 1\:=\:y\,+\,82$ and $\displaystyle m\angle2\:=\:6y\,-\,8$ ?

What are the measures of $\displaystyle \angle1$ and $\displaystyle \angle 2$ ?

      *           *
       \         /
        \       /
         \     /
          \   /
           \ /
    y+82 (1 * 2) 6y-8
           / \
          /   \
         /     \
        /       \
       /         \
      *           *

You're expected to know that vertical angles are equal: $\displaystyle \,\angle1\,=\,\angle2$

So we have: $\displaystyle \,y\,+\,82\;=\;6y\,-\,8$

So can solve for $\displaystyle y$, then determine the sizes of $\displaystyle \angle1$ and $\displaystyle \angle 2$