Answer: The first angle is 32 degrees
The second angle is 38 degrees
The third angle is 110 degrees.
Step-by-step explanation:
Let x represent the size of the first angle.
Let y represent the size of the second angle.
Let z represent the size of the third angle.
The second angle of the triangle is 6 more than the first angle. This means that
y = x + 6
The third angle is 14 more than three times the first angle. This means that.
z = 3x + 14
The sum of the angles in a triangle is 180 degrees. It means that
x + y + z = 180 - - - - - - - - - - - -2
Substituting y = x + 6 and z = 3x + 14 into equation 2, it becomes
x + x + 6 + 3x + 14 = 180
x + x + 3x = 180 - 14 - 6
5x = 160
x = 160/5 = 32
y = x + 6
y = 32 + 6 = 38
z = 3x + 14
z = 3×32 + 14 = 96 + 14
z = 110
