A. Supplementary angles total up to 180o. You should use this information to write the equation: 2x + 3 + x - 6 = 180. Can you combine the like terms to simplify the equation?
b. Use the equation from Part A to solve for the value of x.
c. Now, use the value of x from Part B to fill into the angle (2x + 3) and what do you get? What about when you fill x into the other angle (x - 6)?
a. Yes, we can combine like terms to simplify the equation.
The equation 2x + 3 + x - 6 = 180 can be simplified as follows:
2x + x = 180 - 3 + 6
3x = 183
3x = 183
b. To solve for the value of x, divide both sides of the equation by 3:
3x/3 = 183/3
x = 61
c. When we fill x = 61 into the angle (2x + 3), we get:
2(61) + 3 = 122 + 3 = 125
When we fill x = 61 into the other angle (x - 6), we get:
61 - 6 = 55