Question

HELP NOW PLEASE......

Answer 1

First of all, I will define all of those terms.

acute angle: an angle with a degree below 90
right angle: an angle with a degree of exactly 90
obtuse angle: an angle with a degree above 90

adjacent angles: angles that share a common side and vertex (thus meaning the angles are next to each other)
Vertical angles: two non adjacent angles created by two lines intersecting.

Complementary angles: angles that when their degrees are added together, equal 90 degrees
Supplementary angles: angles that when their degrees are added together, equal 180 degrees


Now look at angle 1 and angle 2.

Acute: both angles are acute, and we can tell because they are smaller than 90 degrees.
Adjacent: angle 1 and angle 2 both share a common side and vertex, making them adjacent.
Complementary: if you were to add the two angles' measures together, you would have a total of 90 degrees, making them complementary.

With that being said, your answer is:
Acute, adjacent, and complementary.

Answer 2

Angles 1 and 2 are both less than 90, therefore ACUTE (neither right nor obtuse); not enoigh info to support that they are equivalent, they are NOT across the intersection of 2 lines, therefore NOT VERTICAL angles; they do not add up to 180, so not supplementary; but they DO add up to 90, so they ARE COMPLIMENTARY; they ARE right next to each other making a larger angle, thereby being ADJACENT.
So the only terms that they are by the proof given are: ACUTE, COMPLIMENTARY, & ADJACENT.