Anyone Please Answer 6yh a one
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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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