Respuesta :

Answer:

The answer to your question is 34°

Step-by-step explanation:

Data

m∠1 = 34°

m∠2 = 116°

m∠3 = ?

Process

1.- If lines l and m are parallel then angles 1 and 3 are interior alternate angles.

2.- Interior alternate angle measure the same.

3.-  m∠1 = m∠3

4.- m∠3 = 34°

5.- Another information given is not necessary to answer this question.

Answer: 34°

Step-by-step explanation:

There may be another way to do it; angle 1 is equal to 34°, angle one and the supplement of 3(we will call it angle 4) are supplementary. So if angle 1 equals 34, angle 4 = 180-34 (which equals 146). since angles 3 and 4 are supplementary, angle 3; would equal 180 - 146 (which equals 34).

Have a nice day! Good luck with the exam.