Answer: y = 8
Explanation:
Firstly, to solve this problem, we must identify what type of triangle this is.
This is an equalateral/equiangular triangle. This means that the sides are the same size and most importantly, the angles are the same degrees. How do we know this though? We know this because if a triangle is equilateral, it has equal angles. The reason we know this is an equilateral triangle is that it is denoted by the marks of congruency or the little dashes on the sides. All triangles that are equiangular have the same three angles of 60 degrees each. To top that off, 60 x 3 = 180, the number of degrees a triangle must have together for it to be considered a triangle. So how do we figure this out though?
Firstly, we must make the equation EQUAL to 60 degrees
60 = 8y - 4
Then simply solve
Add the 4 to each side, we need to do the reverse sign to get rid of it on the variable side. So it would be positive (+4)
60 + 4 = 8y
64 = 8y
Then, simply, we divide each side by 8 to get our answer!
64/8 = 8y/8
8 = y
y = 8
You can confirm by plugging the 8 into y, and you will get 60.