Question

ABCD is a quadrilateral in which all the four angles . show that ABis parallel to CD and AD is parallel to BC​

Answer 1

Step-by-step explanation:

Given........all 4 angles are equal

to prove........ab || cd and ad || bc

proof.....angle a=angle b= angle c = angle d

==> angle a + angle b= angle c + angle d

now , angle a + angle b=180° ( co interior angles)...............(i)

and , angle c + angle d =180°( same reason)........................ (ii)

so.... ...... from (i) and (ii)

ab || cd and ad || bc

hence proved....

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