Question

∠A and \angle B∠B are complementary angles. If m\angle A=(4x+24)^{\circ}∠A=(4x+24) ∘ and m\angle B=(3x-4)^{\circ}∠B=(3x−4) ∘ , then find the measure of \angle B∠B.

Answer 1

Answer:

            m∠B = 26°

Step-by-step explanation:

∠A and ∠B being complementary means  m∠A + m∠B = 90°

4x + 24 + 3x - 4 = 90

7x + 20 = 90

  7x = 70

   x = 10

m∠B = (3•10 - 4)° = 26°