Question

The measures of 2 angles of a triangle are 59 and 41 . Find the measures of the 3rd angle ​

Answer 1

180-(59+41)

180-100

80

Answer 2

Given:-

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• The measure of the first angle is 59.

• The measure of the second angle is 41

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To find:-

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• Find the measures of the 3rd angle

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Solution:-

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Let the 3rd angle be x

As we know that,

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${\underline{\sf{Sum\:of\:all\:the\:measures\:of all\:angles\:of\:a\:triangle\:is\:180°}}}$

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According to the question,

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⠀⠀⠀⠀⠀$\sf{:\implies x+59°+41°=180°}$

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⠀⠀⠀⠀⠀$\sf{:\implies x+100°=180°}$

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⠀⠀⠀⠀⠀$\sf{:\implies x=180°-100°}$

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⠀⠀⠀⠀⠀⠀⠀$\boxed{\bf{\pink{⟹\:x=80°}}}$

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⠀⠀${\underline{\sf{The\:measure\:of\:the\:3rd\:angle\:is\:80°}}}$

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