Question

let m a=40. if b is a complement of a and c is a supplement of b what is m b+m c

Answer 1

b=50°
c=130°
mb+mc=180°

Answer 2

Answer:

m∠B + m∠C = 180°

Step-by-step explanation:

m∠A = 40°

∠B is a complement of ∠A ⇒ m∠B = 90° - m∠A

                                            ⇒ m∠B = 50°

∠C is a complement of ∠B ⇒ m∠C = 180° - m∠B

                                            ⇒ m∠C = 130°

Now, m∠B + m∠C = 50° + 130°

                               = 180°