Question

calculate the value of x and y of parallelogram ABCD​

Answer 1

Step-by-step explanation:

ACD=56°(interior alternate angles)

DOC=AOC=100°

In triangle DOC,

DOC+OCD+CDO=180°(angle sum property)

100+56+x=180

x=180-156

x=24°

OCB=56°(interior alternate angles)

In triangle BCD,

BCD=OCD+OCB

=42+56

=98°

BCD+CDB+DBC=180°(angle sum property)

98+24+y=180

y=180-122

y=58°