Looking at the figure, we can identify two pairs of vertical angles. The measure of each pair is given as algebraic expressions. One pair is written in terms of x and one pair is in terms of y.
Vertical Angles 1:& (5y+5)^(∘) and (7y-9)^(∘)
Vertical Angles 2:& 2(5x-5)^(∘) and (6x+50)^(∘)By the Vertical Angles Congruence Theorem, we know that vertical angles are congruent. Therefore, we can equate the given expressions and solve for x and y. Let's find the value of y first.
