DeShawn's school is selling tickets to a fall musical. On the first day of ticket sales the school sold 12 adult tickets and 2 child tickets for a total of $114. The school took in $227 on the second day by selling 11 adult tickets and 10 child tickets. What is the price each of one adult ticket and one child ticket?

we know that

applying the law of sines

°

so

∠j=18°

∠k=29°

∠l=180-(18+29)=133°

the answer part a) is

the measure of angle k is  ≈29°

part b)  the measure of angle k could also be

(180-29)=151°

so

∠j=18°

∠k=151°

∠l=180-(18+151)=11°

the answer part b) is

the measure of angle k could also be 151°

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