Question

∠A and ∠B are complementary. If m∠B = 64° , what is the measure of ∠A?64°11°36°26°

Answer 1

Given that ∠A and ∠B are complementary, we have:

`m∠A+m∠B=90\degree`

From the problem, we know that:

`m∠B=64°`

Finally:

`\begin{gathered} m∠A+64\degree=90\degree \\ m∠A=90\degree-64\degree \\ \therefore m∠A=26\degree \end{gathered}`