Question

The measures of the interior angles of a triangle are in the extended ration of 2:15:19. Find the measure of the smallest angle.

Answer 1

★$\huge\bf{\blue{\underline{Question:-}}}$

The measures of the interior angles of a triangle are in the extended ration of 2:15:19. Find the measure of the smallest angle.

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★$\huge\bf{\red{\underline{Answer:-}}}$

40o

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★$\huge\bf{\green{\underline{Explanation:-}}}$

Let 2x the smallest angle , 3x the second angle , 4x the third angle hence we have that 2x+3x+4x=180⇒9x=180⇒x=20

The smallest angle is 40o

Hope it will help you

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Answer 2

40o

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★Explanation:−‾\huge\bf{\green{\underline{Explanation:-}}}

Explanation:−

Let 2x the smallest angle , 3x the second angle , 4x the third angle hence we have that 2x+3x+4x=180⇒9x=180⇒x=20

The smallest angle is 40o