Answer:x = 7
y = 4
Step-by-step explanation:
The diagram of the given triangle is well illustrated in the attached photo.
The given figure has 2 small triangles which forms the big triangle. One of the small triangles is an equilateral triangle because all the angles are equal. This also means that all the sides are equal.
Therefore,
5y - 4 = 3x - 5 - - - - - - - - - - - 1
The other small triangle is an isosceles triangle because two angles are equal. This means that two of its sides are also equal. Therefore,
y + 12 = 3x - 5 - - - - - - - - - - - -2
Equating equation 1 to equation 2, it becomes
5y - 4 = y + 12
5y - y = 12 + 4
4y = 16
y = 4
Substituting y = 4 into equation 2, it becomes
4 + 12 = 3x - 5
16 + 5 = 3x
3x = 21
x = 21/3 = 7
