The angles labeled x sum to 360^(∘). The angles labeled y form the base angles of isosceles triangles.
x= 72^(∘)
y=54^(∘)
Practice makes perfect
Notice that the angles labeled x sum to 360^(∘).
With this information, we can write and solve an equation for x.
5x=360^(∘) ⇔ x= 72^(∘)
Also notice that each of the triangles are isosceles triangles, which means their base angles are congruent.
With this information we can write and solve an equation for y.
y+y+72^(∘)=180^(∘) ⇔ y=54^(∘)
