What is the measure of ∠A?

Angle C is equal to 90° because of the Thales Theorem. So, Angle A and Angle B must add up to 90° (Triangle Sum).

90° - 37° = 53°

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step-by-step explanation:

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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