Answer:
The three angles form a "linear triplet" , so their measures must add up to 
Step-by-step explanation:
Notice that the three angles add up to cover half a circle (therefore 180 degrees of angle. Such type of angle combination is called a "linear triplet" since they add up to give a straight line.
Answer:
2 2/3 cups of sugar
Step-by-step explanation:
If your ratio is 3 flour to 4 sugar, and you use 2 cups of flour, set up your proportion as follows:

Cross multiply to get 3x = 8 and x = 8/3 which is 2 and 2/3 cups of sugar.
If Manfred hiked 2/7 of a 588 mile trail, then to find how many miles he has hiked all we need to do is multiply the total miles (588) by what fraction of the miles he has traveled (2/7):
588 * 2/7 = 1176 / 7 = 168
Therefore, Manfred hiked 168 miles.