Provide reasons for the statements. Given: <1 and <3 are vertical angles.
Prove: <1 =~ <3

1. ∠1 and ∠3 are vertical angles. 1. Given

2. ∠1 and ∠2 form a linear pair.

∠2 and ∠3 form a linear pair. 2. Definition of linear pair

3. ∠1 and ∠2 are supplementary.

∠2 and ∠3 are supplementary. 3.

4. m∠1 + m∠2 = 180˚

m∠2 + m∠3 = 180˚ 4.

5. m∠1 + m∠2 = m∠2 + m∠3 5.

6. m∠1 = m∠3 6.

7. ∠1 ≅ ∠3 7. Given

Step-by-step explanation:

945 minutes.

Step-by-step explanation:

10% = 0,1

450 + 450 · 0,1 = 495 (minutes) - Oliver will read next month.

450 + 495 = 945 (minutes) - he read in all during the two months.