Question

gfgh is a parallelogram find X Y and Z also state the properties you use to find them​

Answer 1

Answer:

X = 50°

Step-by-step explanation:

in parallelogram HEFG

angle HGF = 70°

therefore angle HEF = 70° ( opposite angles of a parallelogram are equal)

now , in Parallelogram CDAB

angle DAB = 120°

therefore angle ABC = 180- 120 = 60°

in triangle EBP

angle PEB = angle HEF = 70°

angle EBP = angle ABC = 60°

and we know that,

sum of all angles of a triangle = 180°

therefore,

PEB + EBP + x = 180°

70° +60° + x = 180°

x= 50° (Ans)