The measure of the three angles are 56, 28 , 192 degree
A triangle is a polygon with three sides , three vertices an three angles.
It is given to make system of equations
Let the measure of the first , second and third angle be x, y and z
the sum of the measures of the first two angles is 12 less than the measure of the third angle.
x +y = z -12 ----1
the measure of the first angle is twice as big as the measure of the second angle.
x = 2y
Now equation 1 will be
z - 3y = 12
x +y+z = 180
2y +y +z = 180
3y +z = 180 ----2
z - 3y = 12------3
On solving the system of equation 1, 2
2z = 192
z= 96 degree
3y = 180-96
y = 28
x = 56
Therefore the measure of the three angles area 56, 28 , 192 degree.
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