Given:
Consider the below figure attached with this question.
Angles of a triangle are x, y and z.
To find:
The values of x, y and z.
Solution:
If two angles are linear pair, then their sum is 180 degrees.
Similarly,
According the the angle sum property, the sum of all angles of a triangle is 180 degrees.
Divide both sides by -5.
The value of x is 36.
Now,
Therefore, the values of x, y and z are 36, 67 and 77 respectively.
Answer:
The value of x lies between 20 and 40 and value of y lies between -20 and 10
Step-by-step explanation:
We are given that
....(1)
...(2)
First we convert inequality equation into equality equation to find the solution of the given system of inequality equation.
Therefore, we can write as
...(3)
...(4)
Adding equation (3) and (4) we get
Substitute y=10 in equation (3) we get
(30,10) is the intersect point of two equation.
Put x=0 in equation (3)
Substitute y=0 in equation (3)
Substitute x=0 in equation (4)
Substitute y=0 in equation (4)
Substitute x=0 and y=40 and in equation (1)
Hence, the equation is true.Therefore, the shaded region below the line.
Substitute x=0 and y=-20 in equation (2)
The equation is true. Hence, the shaded region is below the line.
Hence, the value of x lies between 20 and 40 and value of y lies between -20 and 10.
