Question

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

Answer 1

`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`