Answer:
x = 7
y = 4
Step-by-step explanation:
Measure of all the angles on right side triangle are equal. So, it is an equilateral triangle.
Therefore,
5y - 4 = 3x - 5..... (1)
Next, measure of two angles in the left side triangle are same, so it is an isosceles triangle.
Therefore,
y + 12 = 3x - 5......(2)
(By isosceles triangle property)
From equations (1) & (2)
5y - 4 = y + 12
5y - y = 12 + 4
4y = 16
y = 16/4
y = 4
Plug y = 4 in equation (2), we find:
4 + 12 = 3x - 5
16 + 5 = 3x
21 = 3x
x = 21/3
x = 7
