Option B is correct. The correct sequence regarding the angles of the triangle is mAngleY < mAngleZ < mAngleX
Given the length of the triangle expressed as;
XY = m + 8
YZ = 2m + 3
ZX = m - 3
According to the triangular theorem, the third side of the triangle is less than the sum of the other two sides, hence:
ZX < XY + YZ
m - 3 < m + 8 + 2m + 3
m - 3 < 3m + 11
m - 3m < 11 + 3
-2m < 14
m > -14/2
m > -7
Assuming that m = 6, since 5 > -7
ZX = m - 3
ZX = 6 - 3
ZX = 3
XY = m + 8
XY = 6 + 8
XY = 14
YZ = 2m + 3
YZ = 2(6) + 3
YZ = 12 + 3
YZ = 15
From the solutions, we can see that ZX < ZX < YZ, hence mAngleY < mAngleZ < mAngleX
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