Math, asked by Avinav5972, 2 months ago

The measures of two angles of a triangle are 62 degree and 48 degree find the measure of the third angle

Answers

Answered by ғɪɴɴвαłσℜ
5

\sf{\huge{\underline{\green{Given :-}}}}

  • The measures of two angles of a triangle are 62 degree and 48 degree .

\sf{\huge{\underline{\green{To\:Find :-}}}}

  • The measure of the third angle .

\sf{\huge{\underline{\green{Answer :-}}}}

According to the question,

The measures of two angles of a triangle are 62 degree and 48 degree.

  • ∠A = 62°

  • ∠B = 48°

We know that the sum of angles of a triangle is 180°.

∠A + ∠B + ∠C = 180°

➝ 62° + 48° + ∠C = 180°

➝ 110° + ∠C = 180°

➝ ∠C = 180° - 110°

∠C = 70°

\sf{\huge{\underline{\green{Verification :-}}}}

∠A + ∠B + ∠C = 180°

➝ 62° + 48° + 70° = 180°

➝ 110° + 70° = 180°

180° = 180°

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