If PQR and RQS form a linear pair and mPQR = 5x+5 and mRQS = 11x-65 then mPQR=?

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1 Answer

m angle PQR= 80˚

Explanation:

When two angles form a linear pair, that means those two angles added together equal 180˚.
So if anglePQR and angleRQS form a linear pair, that means the two angles added together = 180˚.

  1. Set up equation:
    manglePQR + mangleRQS = 180
    (5x+5) + (11x-65) = 180

  2. Combine "Likes":
    16x-60 = 180
    (the process: 5x+11x = 16x; 5+ (-65)= -60 )

  3. Solve: 16x-60=180
    =>16x= 240
    =>x= 15
    (the process: 60+180= 240; 240divide16 = 15)

  4. Plug x back into anglePQR 's expression: 5x+5
    5(15) + 5 = 80