Provide reasons for the statements.

given: < 1 and < 3 are vertical angles.
prove: < 1 ~= < 3

below of the second picture is what would be used in the reasoning side of the question
for example : definition of supplementary angles, definition of a linear pair, substitution, subtraction property of equality, and definition of congruence.

Use the spider tool located on page 1 of this activity to draw a 12-pointed star for the new logo. (hint: if the spider rotates 360 degrees -- or 720 degrees or 1080 degrees -- she will be facing in the same direction in which she started. when the spider is done drawing, you want her to be facing in the same direction in which she started. she'll be making 12 rotations, all the same size, so each rotation must be some multiple of 360/12 = 30 degrees.) urgently. been stuck on this problem for around 45 minutes now.! it should be easy if you're smart enough