Answer:
The values of
and
are 10 and 14, respectively.
Explanation:
According to the figure, we notice that
and
, concluding that such triangle is equilateral. Since the sum of internal angles within triangle is equal to 180º, then:
(1)
If we know that
, then the value of
is:
![6\cdot x = 60^(\circ)](https://img.qammunity.org/2021/formulas/mathematics/high-school/r3gh8hmcj521lr3s0na7e22geika1cfok8.png)
![x = 10](https://img.qammunity.org/2021/formulas/mathematics/middle-school/gwot6ylqcy58ja7tb07muh9lk3ac30atr9.png)
If we know that
and
, then the value of
is:
![y = 14](https://img.qammunity.org/2021/formulas/mathematics/middle-school/bn9u20jppkqy19yl6hhoeqxui75phr7u8g.png)
The values of
and
are 10 and 14, respectively.