Question

angles A and B are complementary and the measure of angle A is twice the measure of angle B. Find the measure of angle A and B.

Answer 1

Dear Student,

Complementary angles implies sum of the angles is 90 degrees.

$$\begin{gathered} \angle \mathrm{A}+\angle \mathrm{B}=90°............\left(1\right) \\ \angle \mathrm{A}=2\angle \mathrm{B}\left(\mathrm{given}\right) \\ \Rightarrow 2\angle \mathrm{B}+\angle \mathrm{B}=90° \\ \Rightarrow 3\angle \mathrm{B}=90° \\ \Rightarrow \angle \mathrm{B}=30° \\ \Rightarrow \angle \mathrm{A}=2\times 30° \\ \Rightarrow \angle \mathrm{A}=60° \end{gathered}$$
Regards