The values of x and y of the equiangular triangle is; x = 6 and y = 7
An equiangular triangle is one that has it's 3 sides and three interior angles equal.
We are given the length of the sides as;
6x + 1
6y - 5
7y - 2x
Thus;
6x + 1 = 6y - 5
6y - 6x = 6 ---- (eq 1)
Also;
6y - 5 = 7y - 2x
y = 2x - 5 ----(eq 2)
Put 2x - 5 for y in eq 1 to get;
6(2x - 5) - 6x = 6
12x - 30 - 6x = 6
6x = 36
x = 6
Put 6 for x in eq 2 to get;
y = 2(6) - 5
y = 12 - 5
y = 7
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