The difference in the measures of two supplementary angles is 38.

71, 109

Step-by-step explanation:

Let one angle be x

Hence, the other will be (x+38)

We know that the sum of two supplementary angles is always 180

Hence, x+(x+38)=180

2x+38=180

2x=180-38

2x=142

x=71

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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