Question

ABCD is a parallelogram .Find the angle measure a,b and c. state the properties needed to find them ​

Answer 1

As ABCD is a parallelogram AB || CD and AD || BC and opposite angles are equal .........

b = 35° [ alternate interior angles ]

b + c = 75° [ exterior angle is equal to sum of interior opposite angles]

c = 75 - 35

= 40°

a = 180 - 75 [ opposite angles of a parallelogram are equal ]

a = 105°

Answer 2

Answer:

ABII DC

C+B =75 (exterior angle property )

B=35(alternate interior angle )

therefore ,C+35=75

C=75-35

C=40

A= 180 -75

A=105(opposite angles of parallelogram are equal).