Answer:
b. 264°
Step-by-step explanation:
In the given diagram,
∠8 and ∠4 are corresponding angles on parallel lines by same transversal,
Thus, by the corresponding angle theorem,
m∠8 = m∠4
Given, m∠8 = 132°
By substitution,
⇒ m∠4 = 132°
Now, ∠4 and ∠1 are vertical opposite angles,
By vertically opposite angle theorem,
Thus, m∠4 = m∠1
⇒ m∠1 = 132°
Hence, m∠1 + m∠4 = 132° + 132° = 264°
Option 'b' is correct.
