In a quadilateral ABCD, AB || DC angleA= angleD = 2:3 and angleB =angle=5:7 . Find measuring of each angle
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Step-by-step explanation: If Angle A =Angle D = 2:3,
Then AngleA/AngleD =2/3.
Similarly,
AngleB/AngleC = 5/7.
Since the opposite Angles of Quadrilateral are congruent.
Therefore,
AngleA + AngleB = 180 -Interior Angles)
Let the Values of angels be x
Therefore,
2x + 5x = 180
2x = 36 -( we divide 5 from 180)
x = 2÷36
x= 18
Let's apply x=18 In angles
2x = 2× 18 = 36
3x = 3 × 18 = 54
5x = 5 × 18 = 90
7x = 7 × 18 = 126
The Quadrilateral is irregular in shape.
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