The measure of the second angle (y) of a triangle is 44° more than that of the first angle (x), and the third angle

(z) is 28° less than twice the second angle. Find the measures of all three angles.

x = 19, y = 63, z = 98

Step-by-step 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