Answer:
d = 102° , e = 56° , f = 22°
Explanation:
d and 102° are vertically opposite angles and congruent , so
d = 102°
e and 56° are vertically opposite angles and are congruent , so
e = 56°
f, d and e lie on a straight line and sum to 180° , then
f + d + e = 180° , that is
f + 102° + 56° = 180°
f + 158° = 180° ( subtract 158° from both sides )
f = 22°