Begin by finding the value of y using vertical angle relationships. When finding x, consider the meaning of congruent angles.
x=35 y=40
Practice makes perfect
Let's find the value of each variable y and x one at a time.
Finding y
First, We will label the angles and focus on the center of the figure. We can see two nonadjacent angles are formed by two lines that intersect, or cross one other.
With that, we can determine that these angles are congruent and have the same measure. The measure of angle ∠ 4 is given, so we already know the value of y.
y=40^(∘)
Finding x
The markers on the figure indicate that ∠ 1 and ∠ 2 are congruent. With this information, we can conclude that they have the same measure.
