Question

In triangle ABC shown below, the sizes of the acute angles are given as ∠CAB = 3x and ∠CBA = 2x. Solve for the two angles in degrees.​

Answer 1

`\bigtriangleup ABC \: has\: a\: right\: angle\: C\\\Rightarrow \hat{A}+\hat{B}=90° \Leftrightarrow 3x + 2x = 90\Leftrightarrow 5x = 90\Leftrightarrow x = 18\\\Rightartow \hat{A}=3* 18=54°,\hat{B}=2* 18=36°`