Answer:
°
Explanation:
Because the diagonal lines are marked with arrows, we know that they are parallel. The two angles that are marked with measures are same-side interior angles. Same-side interior angles of parallel lines are supplementary, meaning that the sum of their measures is
°.
Now, with all of this information, we can set up the following equation and solve for
:
(Simplify LHS by combining like terms)
(Subtract
from both sides of the equation to isolate
)
(Simplify)
(Divide both sides of the equation by
to get rid of
's coefficient)
° (Simplify)
Hope this helps!