Which is correct regarding the angles of the triangle?

One of the properties of triangle is the opposite of the largest angle is the longest leg and the smallest angle is opposite the shortest leg.

Given the three sides of the triangle with its corresponding angle, we have:

(2m+3) = m∠X

(m-3)    = m∠Y

(m+8)   = m∠Z

assign value for m; let m = 6

2(6)+3 = 15 =  m∠X

6 - 3    =  3  =  m∠Y

6 + 8   = 14 =  m∠Z

As the sides correspond to its angle, therefore, the largest angle is m∠X and the smallest is m∠Y

The correct one is m∠Y < m∠Z < m∠X

  if you measure the distance around a circle and divide it by the distance across the circle through the center, you will always come close to a particular value, depending upon the accuracy of your measurement. this value is approximately 3. we use the greek letter  (pronounced pi)  to represent this value.