Answer:
32
Step-by-step explanation:
This is an equilateral triangle, the 3 sides are equal.
Also, that means 3 angles are equal.
Given the 2 angles, we can say:
2x - 4 = 5y
Also, the angle is "5y" as they are equal.
Sum of 3 angles of a triangle is 180, so we can write:
2x - 4 + 5y + 5y = 180
2x + 10y - 4 = 180
2x + 10y = 184 [Equation 2]
From the first equation we can solve for y:
[tex]2x - 4 = 5y\\y=\frac{2x-4}{5}[/tex]
Now, we plug this into Equation 2 and find x:
[tex]2x+10y=184\\2x+10(\frac{2x-4}{5})=184\\2x+4x-8=184\\6x=192\\x=32[/tex]
So x is 32
