Question

the angles of a triangle are in the ratio 2 ratio 3 ratio 5 find the measure of each of the angles

Answer 1

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Answer 2

$\underline\bold{\huge{SOLUTION \: :}}$


Let the common ratio be x.

Then, we can write :

▶ First angle = 2x

▶ Second angle = 3x

▶ Third angle = 5x

Also, 2x + 3x + 5x = 180°

=> 10x = 180°

=> x = 180°/10

=> x = 18°

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SO, THE ANSWER WILL BE :

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▶ $\bold{First\:\:angle}$ = (2×18)° = 36°

▶ $\bold{Second\:\:angle}$= (3×18)° = 54°

▶ $\bold{Third\:\:angle}$ = (5×18)° = 90°