Math, asked by ilaiah9542, 1 month ago

the three angles of a quadrilateral are 60dgrees, 80degrees and 120 degrees and find the 4th angle​

Answers

Answered by TheWonderWall
8

\large\sf\underline{Solving\::}

Given :-

  • First angle = 60°

  • Second angle = 80°

  • Third angle = 120°

To find :-

  • The fourth angle

Answer :-

From the angle sum property of quadrilateral we know :

✪ First angle + Second angle + Third angle + Fourth angle = 360°

  • Substituting the values we are given

=> 60° + 80° + 120° + Fourth angle = 360°

=> 140° + 120° + Fourth angle = 360°

=> 260° + Fourth angle = 360°

=> Fourth angle = 360° - 260°

=> Fourth angle = 100°

________________________:D

Thnks :)

Answered by Anonymous
14

 \huge \rm{ \underline{ \underline \pink{required \: answer}}}

Given :-

  • The three angles of quadrilateral are 60dgrees, 80degrees and 120 degrees.

To Find :

  • The fourth angle

Solution :-

(As we know that sum of quadrilateral angles = 360°)

 \rm{let \: the \: fourth \: angle \: be \: y}

:  \implies  \rm{60 \degree + 80 \degree + 120 \degree + y = 360 \degree}

:  \implies \rm{260 \degree + y = 360 \degree}

:  \implies \rm{y = 360 \degree - 260 \degree}

:  \implies{ \boxed {\underline{y = 100  \degree}}}

 \rm{ \therefore \: the \: fourth \: quadrilateral \: angle \: is \: 100 \degree}

___________________________

Additional information

  • All polygon with four sides is called a quadrilateral. The sum of the measure of the four angles is 360° degree.

NOTE: Please refer to the attachment!

Attachments:
Similar questions