Math, asked by shindevarsha896, 1 year ago

Anyone Please Answer 6yh a one

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Answered by sobhavinod05
1

Answer:

x = 5.27 and the angles are 80° , 100° , 106.21° , 73.78°

Step-by-step explanation:

The angle sum property of the interior angle of the quadrilateral = 360°

So , 80° + 100° + 14x + (23x - 15°) = 360°

      80° + 100° + 14x + 23x = 360° + 15°

      180° + 37x = 375°

      37x = 375° - 180°

      37x = 195°

      x = 195°/37

      x = 5.27

∴ the first angle = 80°

  the second angle = 100°

  the third angle = (23x - 15°) = 23 × 5.27 - 15

                                                = 121.21 - 15

                                                = 106.21°

the fourth angle = 14x = 14 × 5.27

                                    = 73.78°

∴ the angles are 80° , 100° , 106.21° , 73.78°

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