the first, second, and third angles, respectively. Find the measures of the three angles.

x= 36 y= 67 and z=77

Step-by-step explanation: we have to write the equations from the data give in the exercise, this means :

First of all, x,y and z correspònd to the first, second and third angles, respectively.

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

x+y=4z

z=y+10

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