Answer:
x= 118 y= 26 and z=36
Step-by-step explanation:
The sum of the measures of the angles of a triangle is 180
can be written as x+y+z=180
The sum of the measures of the second and third angles is four times the measure of the first angle.
It can be written by: x+y=4z
The third angle is 10 more than the second
It can be written as z=y+10
By solving the equations systems the above values can be determined.
x + y + z = 180
Substituting,
4z + z = 180
5z = 180
z = 180 / 5 = 36
z = y + 10
36 - 10 = y
y = 26
x + y + z = 180
x + 26 + 36 = 180
x = 180 - 62
x = 118
