Verified Answer :

  • If EFG and GFH are a linear pair, then both of the angles added must be equal to 180 degrees. Since they must be added to = 180, you would add them as so:
    4n + 23  +  2n + 13  = 180
    - Combine like terms to get:
    6n + 36   =   180
    - Now, simply solve! -
    - Subtract 36 from both sides to get:
    6n   =   144
    - Divide 6 from both sides to get the variable by its self:
    6n / 6 = n
    144 / 6 = 24
    - Thus, n = 24
    - To check your work, fill 24 for 'n' in the equations.
    4(24) + 23   =  119
    2(24) + 13   =   61
    119   +   61   = 180 - Correct!

    Hope I could help!