Question

In the diagram above, suppose mz6= 115°. Explain how to find the measures of each of the other seven

Answer 1

Angles 6 and 7 are vertical angles, not alternate interior.

The same applies to angles 4 and 1, and angles 5 and 8 as well.

Any time you have two lines cross to form an X shape, the angles that are opposite one another are considered vertical angles and are always congruent.

The values you have typed into the boxes are all correct. The other drop-down choices are correct as well. Nice work.

Answer 2

From top to bottom:

Correct | Correct

Correct | Correct

Wrong | Correct

Correct | Correct

Wrong | Correct

Correct | Correct

Wrong | Correct

Your mistakes are that you are confusing vertical angles with alternate-interior angles. Angles 6 and 7 for example are vertical angles while angles 3 and 6 are alternate-interior angles.