If ∠𝐴 𝑎𝑛𝑑 ∠𝐵 are complementary angles and 𝑚∠𝐴 = 2 𝑚∠𝐵, find 𝑚 ∠𝐴 𝑎𝑛𝑑 𝑚 ∠𝐵.

Answer 1

since <A and <B are complementary m<A + m<B = 90

since m<A = 2 m<B, substitute 2 m<B for m<A and solve for m<B in above equation:

2 m<B + m<B = 90

3 m<B = 90

m<B = 30

since m<A = 2 m<B, m<A = 2 * 30 = 60