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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.​

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 class=

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[tex]\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\times 18=54°,\hat{B}=2\times 18=36° [/tex]

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