Question

I need help with this, thanks

Answer 1

151, 29, 151

Explanation:

`m\angle 2=29^(\circ)` (vertical angles)

`m\angle 1=m\angle 3=151^(\circ)` (linear pair)

Answer 2

`m \angle 1= \boxed{151}\;^(\circ)\\\\m \angle 2= \boxed{29}\;^(\circ)\\\\m \angle 3= \boxed{151}\;^(\circ)`

Explanation:

Angles on a straight line sum to 180°.

⇒ m∠3 + m∠4 = 180°

⇒ m∠3 + 29° = 180°

⇒ m∠3 = 151°

Vertical Angle Theorem

When two straight lines intersect, the opposite vertical angles are congruent.

Applying the Vertical Angle Theorem:

• m∠2 = m∠4 = 29°
• m∠1 = m∠3 = 151°