Math, asked by saayuj3690, 4 months ago

Three angles of quadrilateral are 60degree,80 degree ,150 degree forth is answer

Answers

Answered by Anonymous
9

Given:

  • First angle of quadrilateral = 60°
  • Second angle of quadrilateral = 80°
  • Third angle of quadrilateral = 150°

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To find:

  • The fourth angle of the quadrilateral.

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Solution:

We know that sum of all the angles of a quadrilateral is 360°. So,

Let the fourth angle be 'x'.

60° + 80° + 150° + x = 360°

290° + x = 360°

x = 360° - 290°

\boxed {\mathfrak {\orange {x=70 \degree}}}

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Verification:

Substitute the value of 'x' as 70° in the equation,

60° + 80° + 150° + x = 360°

60° + 80° + 150° + 70° = 360°

360° = 360°

LHS = RHS

Hence Verified!

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Fourth angle:

Fourth angle of the quadrilateral is 70°.

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