Math, asked by darky3512, 3 months ago

Find the third angle of triangle if if two angles are 60 degree and 38 degree

Answers

Answered by kailashmannem
31

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 \huge{\bf{\green{\mathfrak{Question:-}}}}

  • Find the third angle of triangle if two angles are 60° and 38°.

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 \huge {\bf{\orange{\mathfrak{Answer:-}}}}

  • Let the angles of the triangle be x°, y° and z°.

  •  \textsf{One angle = x° = 60°}

  •  \textsf{Second angle = y° = 38°}

  •  \textsf{Third angle = z° = ?}

  •  \boxed{\textsf{x° + y° + z° = 180° ( Angle sum property of a triangle)}}

  •  \textsf{60° + 38° + z° = 180°}

  •  \textsf{98° + z° = 180°}

  •  \textsf{z° = 180° - 98°}

  •  \boxed{\textsf{Third side = z° = 82°}}

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 \huge{\bf{\red{\mathfrak{Conclusion:-}}}}

  •  \boxed{\therefore{\textsf{Third side = 82°}}}

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Answered by thebrainlykapil
50

Given :-

  • First Angle of Triangle = 60°
  • Second Angle of Triangle = 38°

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To Find :-

  • Third Angle of Triangle

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Solution :-

❏ As we know that, Sum of all the Angles of a Triangle is 180° ( Angle Sum Property of Triangle )

Putting the Values :

➞ ∠1 + ∠2 + ∠3 = 180°

➞ 60 + 38 + ∠3 = 180

➞ 60 + 38 + ∠3 = 180

➞ 98 + ∠3 = 180

➞ ∠3 = 180 - 98

➞ ∠3 = 82°

Thus Third angle of the Triangle is 82°

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