Question

prove that opposite angles of a parallelogram are equal ​

Answer 1

Answer:

Step-by-step explanation:

GIVEN:a parallelogram abcd  with ac as its diagonal

TO PROVE: anglea =anglec,angle b=angled

PROOF:

opp.sides of a parallelogram are parallel.so,

since ab//dc and ac is the transversal

angle BAC = angleDCA (alternate angles).......1

since ad//bc and ac is the transversal

angleDAC = angleBCA(alternate angles).......2

add 1 and 2

ANGLE BAC + ANGLE DAC  = ANGLE DCA + ANGLE BCA

thus,ANGLE BAD=ANGLE DCB

SIMILARLY,

ANGLE ADC=ANGLE ABC

HENCE PROVED

HOPE THIS HELPS

Answer 2

HOPE THIS WILL HELP YOU.........