Answer:
The values of [tex]x[/tex] and [tex]y[/tex] are 10 and 14, respectively.
Step-by-step explanation:
According to the figure, we notice that [tex]AB\equiv BC\equiv AC[/tex] and [tex]\angle A \equiv \angle B\equiv \angle C[/tex], concluding that such triangle is equilateral. Since the sum of internal angles within triangle is equal to 180º, then:
[tex]m \angle A = m \angle B = m \angle C = 60^{\circ}[/tex] (1)
If we know that [tex]m\angle A = 6\cdot x[/tex], then the value of [tex]x[/tex] is:
[tex]6\cdot x = 60^{\circ}[/tex]
[tex]x = 10[/tex]
If we know that [tex]AC = 14[/tex] and [tex]AB = y[/tex], then the value of [tex]y[/tex] is:
[tex]y = 14[/tex]
The values of [tex]x[/tex] and [tex]y[/tex] are 10 and 14, respectively.
