Answer:
m∠1 = 29° = m∠3
m∠2 = 151° = m∠4
Step-by-step explanation:
m∠1 = (3x -1)° and m∠3 = (2x + 9)°
Since, ∠1 and ∠2 are vertically opposite angles and we know that vertically opposite angles are always equal
⇒ ∠1 = ∠2
⇒ (3x -1)° = (2x + 9)°
⇒ 3x - 2x = 9 + 1
⇒ x = 10
⇒ m∠1 = 3 × 10 - 1
⇒ m∠1 = 29° = m∠3
Now, m∠2 + m∠3 = 180° ( sum of linear pair is 180° )
⇒ m∠2 = 180° - 29°
⇒ m∠2 = 151°
Also, ∠2 = ∠4 ( Vertically opposite angles are always equal)
⇒ m∠2 = 151° = m∠4
