Answer:
x = 19, y = 63, z = 98
Explanation:
the three angles of a triangle add to 180 degrees
x+y+z = 180
The measure of the second angle (y) of a triangle is 44° more than that of the first angle (x)
y = 44+x
the third angle (z) is 28° less than twice the second angle y
z = 2y-28
substitute 2y-28 into x+y+z = 180
x+ y + z=180
x+ y + (2y-28) = 180
combine like terms
x + 3y -28 = 180
now y = 44+x substitute this into the above equation
x + 3(44+x) - 28 = 180
distribute
x + 132 + 3x -28 = 180
combine like terms
4x +104 = 180
subtract 104 from each side
4x +104-104 = 180-104
4x = 76
divide by 4
4x/4 = 76/4
x = 19
now lets find y
y= 44+x
y = 44+19
y = 63
and we need to find z
z = 2y-28
z = 2*(63) - 28
z= 126 - 28
z=98