On the mertler's vacation to florida, they drove 180 miles in 3 hours before stopping for lunch. after lunch they drove 120 miles in 2 hours before stopping for gas. are these rates equivalent? explain your reasoning.

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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