Answer:
x = 7 , y = 4
Explanation:
the triangle on the right has 3 congruent angles and is therefore equilateral with 3 congruent sides, so
3x - 5 = 5y - 4 → (1)
the triangle on the left has 2 congruent angles and is therefore isosceles with the 2 legs being congruent, so
3x - 5 = y + 12 → (2)
we have 2 equations with 3x - 5 on the left side so equate the right sides
5y - 4 = y + 12 ( subtract y from both sides )
4y - 4 = 12 ( add 4 to both sides )
4y = 16 ( divide both sides by 4 )
y = 4
Then
5y - 4 = 5(4) - 4 = 20 - 4 = 16 , so
3x - 5 = 16 ( add 5 to both sides )
3x = 21 ( divide both sides by 3 )
x = 7