A group of campers were polled about whether they like swimming and whether they like playing baseball. The data from the survey
is shown in the Venn diagram. Use the Venn diagram to find the missing values in the frequency table. Which values are correct?
2 answers:
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Answer: 142°15'
Explanation:
Supplementary angles are angles that add up to make a straight angle ().
Therefore, we must find the angle ∠B such that
∠A + ∠B = 180° (1)
We know that ∠A = 37°45', so we can re-arrange equation (1) to find the magnitude of ∠B:
∠B = 180° - ∠A = 180° - 37°45' = 142°15'
So, the correct answer is
142°15'