3 years ago

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 deg

rees.

Mathematics

1 answer:

otez555 [7]3 years ago

3 0

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

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