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 \(\displaystyle \angle 2\)