Answer:
see explanation
Step-by-step explanation:
∠a and ∠b are a linear pair and sum to 180° , that is
∠a + ∠b = 180° ( substitute ∠a = 42° )
42° +∠b = 180° ( subtract 42° from both sides )
∠b = 138°
∠c and ∠a are vertically opposite angles and are congruent (equal ), so
∠c = ∠a = 42°
∠d and ∠b are vertically opposite angles and are congruent , so
∠d = ∠b = 138°
∠e and ∠a are corresponding angles and are congruent , so
∠e = ∠a = 42°
∠f and ∠b are corresponding angles and are congruent , so
∠f = ∠b = 138°
∠g and ∠e are vertically opposite angles and are congruent , so
∠g = ∠e = 42°
∠h and ∠f are vertically opposite angles and are congruent , so
∠h = ∠f = 138°
Then
∠b = 138° , ∠c = 42° , ∠d = 138° , ∠e = 42° , ∠f = 138° , ∠g = 42° , ∠h = 138°
