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:& 4x^(∘) and (6x-26)^(∘)
Vertical Angles 2:& (6y+8)^(∘) and (7y-12)^(∘)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 x first.
