J.
3xº
(12x + 1)º
(16x-7)°
L
a. Write an equation that would help you solve for the missing angle measures. Combine Like Terms! Remember the Triangle Sum Theorem. b. Solve the equation to find the value of x. Show/Explain all of your steps using inverse operations! (2 points)
a. The equation that would help solve for the missing angle measures is: 3x + (12x + 1) + (16x - 7) = 180.
This equation is derived from the Triangle Sum Theorem, which states that the sum of the angles in a triangle is 180 degrees.
b. Solving the equation:
Combine like terms: 3x + 12x + 1 + 16x - 7 = 180
31x - 6 = 180
Add 6 to both sides: 31x = 186
Divide both sides by 31: x = 6
Therefore, the value of x is 6.
make it look like i wrote it
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a. We can write an equation to help solve for the missing angle measures using the Triangle Sum Theorem. The equation is: 3x + (12x + 1) + (16x - 7) = 180.
b. To solve the equation, we combine like terms: 3x + 12x + 1 + 16x - 7 = 180. This simplifies to 31x - 6 = 180.
In order to isolate x, we add 6 to both sides of the equation: 31x = 186.
Finally, we divide both sides by 31 to solve for x: x = 6.
Thus, the value of x is 6.