Mangle 2 = 34 degrees. find m angle 4 and explain how you know.

The measure of angle 4 is 34°

Step-by-step explanation:

- When two lines intersect each other, they formed two pairs of vertical

  angles and 4 pairs of linear angles

- Vertical angles are angles that are opposite each other

- Vertical angles are congruent

- Linear angles are two adjacent supplementary angles

- The sum of the measures of the linear angles is 180°

- From the attached figure

∵ Two lines intersected at a point

∴ ∠1 and ∠3 are vertical angles

∴ ∠2 and ∠4 are vertical angles

- Vertical angles are congruent

∴ m∠1 = m∠3 ⇒ vertical angles

∴ m∠2 = m∠4 ⇒ vertical angles

- Measure of angle 2 is 34 degrees

∵ m∠2 = 34° ⇒ given

∴ m∠4 = 34°

* The measure of angle 4 is 34°

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