A restaurant sells pizzas for which you can choose from nine toppings.

a) The percentage of respondents advocating for neither Obama nor Romney in terms of likability is 7%. b) In a survey comprising 500 participants, it was found that 145 more respondents supported Obama over Romney. To find the percentage of those who did not favor either candidate, use the universal set concept where 100% represents all, leading to a calculation that shows 7% favored neither. For part b, support levels translate to 305 favoring Obama and 160 favoring Romney, resulting in a gap of 145.

The result is:

B. 3.13

∠ROT=160°

∠SOT=100°

Now we calculate ∠SOR as follows: ∠SOR = ∠ROT - ∠SOT

∠SOR = 160° - 100°

∠SOR = 60°

It is stated that the angles ROQ, QOS, and POT all have the same measure.

Thus, ∠SOQ + ∠QOR = 60°

Since ∠SOQ equals ∠QOR, we can express this as:

2∠SOQ = 60°

From which we find ∠SOQ = 60° ÷ 2

∠SOQ = 30°

Also, ∠POT = ∠SOQ = ∠ROQ = 30°