Question

I need help with this, thanks

Answer 1

151, 29, 151

Step-by-step explanation:

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

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

Answer 2

`m \angle 1= \boxed{159}\;^(\circ)\\\\m \angle 2= \boxed{21}\;^(\circ)\\\\m \angle 4= \boxed{21}\;^(\circ)`

Explanation:

Angles on a straight line sum to 180°.

⇒ m∠3 + m∠4 = 180°

⇒ 159° + m∠4 = 180°

⇒ m∠4 = 21°

Vertical Angle Theorem

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

Applying the Vertical Angle Theorem:

• m∠1 = m∠3 = 159°
• m∠2 = m∠4 = 21°