Given triangle ABC with m M

9514 1404 393

  49°

Step-by-step explanation:

The sum of angles in a triangle is 180°.

  ∠A +∠B +∠C = 180

  (x +32) +(x +41) +(3x +22) = 180 . . . . angles assumed to be in degrees

  5x +95 = 180

  5x = 85

  x = 17

  x +32 = 49 . . . . measure of ∠A

answer: (c) m∠qpo + (2x + 16)° = 180°

step-by-step explanation:

the opposite angles of a quadrilateral are supplementary.

so, ∠o + ∠q = 180°   and   ∠p + ∠r = 180°

since ∠r = 2x + 16°, we can use substitution as follows:

∠p + ∠r = 180°

∠p + (2x + 16)° = 180°