I would really appreciate if someone could explain the process to solve it

x = 12°

Detailed explanation down below.

Step-by-step explanation:

Ill be delighted to help

8° + 6x is an exterior angle. The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.

In this situation, those two angles are 30° and 4x+2°

So lets put this in an equation

30° + 4x + 2° = 8° + 6x

4x + 32° = 6x + °8

Now lets subtract 8° from both sides to make it simpler

New equation =

4x + 24° = 6x

Lets evaluate X=

6x - 4x = 24°

2x = 24°

x= 24/2

x= 12°

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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