Question

∠A and \angle B∠B are supplementary angles. If m\angle A=(x-16)^{\circ}∠A=(x−16) ∘ and m\angle B=(3x+28)^{\circ}∠B=(3x+28) ∘ , then find the measure of \angle A∠A.

Answer 1

Answer:

  ∠A = 26°

Step-by-step explanation:

Supplementary angles total 180°.

  ∠A +∠B = 180°

  (x -16)° +(3x +28)° = 180°

  4x° + 12° = 180°

  x° +3° = 45°

  x° = 42°

  ∠A = (x -16)° = 42° -16°

  ∠A = 26°