Angle 3 and 6 are consecutive interior angles so their sum is equal to 180
[tex]85 + 2x =180[/tex]
since 1 and 3 are vertical angles they have the same measure. The goal is to find angle 3 to find angle 1.
[tex]85 + 2x =180[/tex]
We take our equation add solve it.
[tex]2x = 180-85
\\ 2x=95
\\ x=47.5[/tex]
Now we know x so we can plug that back into 2x to figure out the value of angle 3. 2(47.5) = 95 That is the measure of angle 3. Since 1 and 3 are vertical angles they have the same measure. 1=95
