Question

prove that in a parallelogram, opposite angles are equle

Answer 1

here's the answers is this correct

Answer 2

hey dear


here is your answer


Solution



First of all I want to say that figure of question in attachment you can see



Now


Given - ABCD is a parallelogram


To prove - ( angle A = C and angle B = D)




AB parallel to CD


AC is transversal


Hence angle 1 = 4 (1)


Then


ABC congruent ADC

( By SSS rule of congruency)



Hence angle 3 = angle 4. ( 2)


angle 1 = angle 2 ( 3)


Consider

angle A = angle 3 + angle 4


angle 4 + angle 4 ( from equation 2)


2angle 4 = 2angle 1


angle 1 + angle 2

= angle C



Therefore A = C


Similarly we can prove B = D



hence angle A = C = B = D


hence proved



hope it helps


thank you