Answer:
[tex]\boxed {\tt D. \ x=52}[/tex]
Step-by-step explanation:
The 2 angles are 2x and 76. They are on a straight line together. Therefore they are supplementary and add to 180 degrees.
[tex]2x+76=180[/tex]
Solve for x by isolating x on one side of the equation.
76 is added to 2x. The inverse of addition is subtraction. Subtract 76 from both sides of the equation.
[tex]2x+76-76=180-76\\2x=180-76\\2x=104[/tex]
x is multiplied by 2. The inverse of multiplication is division. Divide both sides of the equation by 2.
[tex]2x/2=104/2\\x=104/2\\x=52[/tex]
x is equal to 52 and D is the correct answer.
