Question

(y-18)

3x - 5y = -22
The equation is
to
MATHEMATICAL CONNECTIONS a. Write an equation that represents the sum of the angle measures of the
triangle.
X=
y
= 180.
b. Use your equation and the equation shown to find the values of x and y.

Answer 1

To find the sum of the angle measures in a triangle, substitute the given equation into the equation x + y + (y-18) = 180 and solve for x and y.

Step-by-step explanation:

To find the sum of the angle measures in a triangle, we know that the sum must be 180 degrees. Let's use the given equation 3x - 5y = -22 to solve for x and y. Since we have (y-18) as part of the equation, we can substitute (y-18) in place of y, and solve for x first. Let's rearrange the equation:

3x - 5(y-18) = -22

3x - 5y + 90 = -22

3x - 5y = -112

Now we have a system of equations:

3x - 5y = -112

3x - 5(y-18) = -22

We can solve this system using various methods, such as substitution or elimination. The solution will give us the values of x and y, which we can substitute into the equation x + y + (y-18) = 180 to find the sum of the angle measures.

Learn more about Triangle angles