The difference between the measures of two supplementary is 42. find both angles.

111 deg and 69 deg

Step-by-step explanation:

let the angles be x and y

given:

x - y = 42 degrees > eq 1

also given that they are supplemantry,

i.e x + y = 180 degrees > eq 2

by elimination,

eq 1 + eq 2

(x-y) + (x+ y) = 42 + 180

2x = 222

x = 111 degrees (substitute back into eq 2)

111 + y = 180

y = 180 - 111

y = 69 deg

c. prove the lengths are the same.

step-by-step explanation:

you need to prove the segments are congruent. congruent segments have the same length. find the lengths of the segments using the distance formula, and compare them.

answer: c. prove the lengths are the same.

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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