CPM Homework Help : CC2 Problem 8-106

Sketch each angle below on your paper, and label each one with its measure in degrees.

2 rays start at the same point, left ray goes up and left, right ray is horizontal, with gap between labeled, 130 degrees.

2 rays start at the same point, left ray is vertical, right ray is horizontal, with gap between labeled, 90 degrees.

2 rays start at the same point, left ray goes up and left, right ray goes more up and left, with gap between labeled, 40 degrees.

2 rays start at the same point, left ray is vertical, right ray is horizontal, with gap between labeled, 92 degrees.

2 rays start at the same point, left ray goes up and right, right ray is horizontal, with gap between labeled, 50 degrees.

Identify whether each angle is an acute, obtuse, or right angle.
Hint (a):
Remember:
1) Right angles are $90°$ .
2) Acute angles are less than $90°$ .
3) Obtuse angles are greater than $90°$ , and less than $180°$ .
Which angles could form a complementary pair?
Hint (b):
Complementary angles add to $90°$ .
Answer (b):
$40°+50°=90°$ . Thus, $40°$ and $50°$ are a complementary pair.
Which angles could form a supplementary pair?
Hint (c):
Supplementary angles add to $180°$ .