The design for a patio consists of a square with a semicircle adjacent to one side of the square. the diameter of the semicircle equals the side length of the square. the side length of the square is 6 ft. what is the approximate area of the patio? use π≈3.14π≈3.14 .

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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