Question

I need help on this, thanks

Answer 1

M∠2 = 37°

M∠3 = 143°

M∠4 = 37°

Explanation:

∠3 is the complete opposite of ∠1

143° + 143° = 286°

there is 360° in a full circle or a repeating angle (aka the scissors)

360°-286°=74°

since ∠2 and ∠4 is opposite of each other

74°÷2=37°

Answer 2

`m \angle 2= \boxed{37}\;^(\circ)\\\\m \angle 3= \boxed{143}\;^(\circ)\\\\m \angle 4= \boxed{37}\;^(\circ)`

Explanation:

Angles on a straight line sum to 180°.

⇒ m∠1 + m∠2 = 180°

⇒ 143° + m∠2 = 180°

⇒ m∠2 = 37°

Vertical Angle Theorem

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

Applying the Vertical Angle Theorem:

• m∠3 = m∠1 = 143°
• m∠4 = m∠2 = 37°