To solve this problem, we must keep in mind that all of the interior angles of a triangle must add up to 180 degrees. Using this knowledge, we can create an equation that has the sum of the three interior angles (T, T-6, and 47) set equal to 180. This is shown below:
47 + T + (T - 6) = 180
To solve this problem, we should begin by combining like terms on the left side of the equation. This means adding/subtracting all of the variable terms together and all of the constant (number) terms together.
47 - 6 + T + T = 180
41 + 2T = 180
Next, we should subtract 41 from both sides of the equation so that all of the constants are on the right side of the equation.
2T = 139
Finally, we should divide both sides of the equation by 2 to get the variable T alone on the left side of the equation.
T = 69.5
This means that the value of T is 69.5 degrees, which makes your angles measure 47 degrees, 69.5 degrees, and 63.5 degrees.
Hope this helps!
