Question

can anyone solve this

Answer 1

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Answer 2

given:

ABCD is a quadrilateral
Angles A=B=Ç=D
To Prove,
AB || CD and AD || BC

Proof:- Here,
angle A+B+Ç+D=360° [angle sum property of quadrilaterals]
=>A+A+A+A=360°
=>4A=360°
=>A=90° ……[equation 1]

Again, angle A+B=180°
Therefore, angles A and B are linear
And also they are adjacent.
Therefore, AD || BC because there interior angles A and B add up to 180°.

Similarly, angle A+D=180°
Therefore, angles A and D are linear
And also they are adjacent.
Therefore, AB || CD because there interior angles A and B add up to 180°.

Therefore, it is proved that AB ||CD
And AD || BC.

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