Question

I need help with this, thanks

Answer 1



m < 1 = 146

m < 3 = 146

m < 4 = 34

Explanation:

Angles 2 and 3 are suplementary angles that equal 180

angle 2 + angle 3 = 180

34 + angle 3 = 180

angle 3 = 180 - 34

angle 3 = 146

angles 2 (34 degrees) and 4 and angles 1 (146 degrees) and 3 are congruent so...

m < 1 = 146

m < 2 = 34

m < 3 = 146

m < 4 = 34

Hope this helps! :)

Answer 2

`m \angle 1= \boxed{146}\;^(\circ)\\\\m \angle 3= \boxed{146}\;^(\circ)\\\\m \angle 4= \boxed{34}\;^(\circ)`

Explanation:

Angles on a straight line sum to 180°.

⇒ m∠1 + m∠2 = 180°

⇒ m∠1 + 34° = 180°

⇒ m∠1 = 146°

Vertical Angle Theorem

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

Applying the Vertical Angle Theorem:

• m∠4 = m∠2 = 34°
• m∠3 = m∠1 = 146°