Determine the unknown angle measures for the quadrilateral in the diagram. (List your answers, separated by commas, in ascending
order) 
1 answer:
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Answer:
17
Step-by-step explanation:
Number of students in soccer club, n(S) = 50
Number of students in Art club, n(A) = 53
Number of students in Gaming club, n(G)
n() = 100
n() = 9
n() = 20
n() = 35
n() = 29
Formula:
n ( A ∪ B ∪ C ) = n(A) + n(B) + n(C) – n ( A ∩ B ) – n(B ∩ C) – n (A ∩ C) + n( A ∩ B ∩ C )
Putting the values:
100 = 50 + 53 + n(G) - 20 - 35 - 29 + 9
100 = 112 + n(G) - 84
n(G) = 72
Number of students in gaming club only = n(G) - n() - n(
) + n(
)
= 72 - 35 - 29 + 9
= <em>17</em>