A high school track is shaped like a rectangle with a semi-circle (half a circle) on each end. The rectangle has length 105 me. ters and width 68 meters. Find the area enclosed by the track. Round your answer to the nearest hundredth

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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