Math, asked by DiOmkar0188, 3 months ago

Three angles of a quadrilateral measure 68° , 75° and 108° resp. Find the measure of the fourth angle.


DiOmkar0188: are bhai answer do
sg020272: 109°

Answers

Answered by sg020272
0

Answer:

109°

Step-by-step explanation:

68+75+108+x=360

251+x=360

x=360-251

x=109

Answered by Champion55
4

Given :

⬤ Three Angles of Quadrilateral are 68° , 75° and 108° .

To Find :

⬤ Measure of Fourth Angle of Quadrilateral .

Solution :

  • First Angle = 68° .
  • Second Angle = 75° .
  • Third Angle = 108° .

Let :

  • Fourth Angle be x .

As we know that , Sum of all Angles of Quadrilateral is 360 degree . Hence ,

\sf{68^{\circ}+75^{\circ}+108^{\circ}+x=360^{\circ}}

251 + x = 360

x = 360 - 251

x = 109

Therefore , The Fourth Angle of Quadrilateral is 109 degree .

Check :

68° + 75° + 108° + x = 360°

68° + 75° + 108° + 109° = 360°

251 + 109 = 360°

360° = 360°

Hence Checked


BrainlyMessi10: nice one:D
Champion55: Thank you ! :)
BrainlyMessi10: you deserve it:)
BrainlyMessi10: you have got some top quality answers , star-worthy
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