Question

A) Work out the size of angle x B) give reasons for your answer

Answer 1

line AD and EH are parallel lines and CG is the intersecting line.

as angle CBD=100

so angle ABF=100 (due to verticality opposite angles)

now angle ABF + x = 180 (interior angles on same side)

100+x =180

so x=80 degrees

Answer 2

Step-by-step explanation:

LCBD+LDBF=180(on straight line)

100+LDBF=180

LDBF=80 degree

as we know LBDF=LBFE(alternate interior angle)

hence the value of LBFE is 80 degree