What are the numerical measures of each angle in the diagram?

29 degrees

151 degrees  

Step-by-step explanation:

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

answer: $201

step-by-step explanation: to get the answer, you first get 3 nieces that he sold and multiply it by 67 and get $201, so he earned $201 selling his nieces.

correct answer is c. just did it

step-by-step explanation: