2. find the measure of angle a. make sure to show all work.


 

Angle A measures 80°

Step-by-step explanation:

Here,  the measure of ∠A = (5x + 20)° (given)

From the given picture, the other 2 angles of the triangle measure,

(4x - 3)°  and (180 - 125)° = 55° respectively

[Since, opposite angles are equal and sum of two adjacent angles over the same straight-line is 180°]

Now, since the sum of 3 interior angles of any triangle equals 180°, so,

(5x + 20) + (4x - 3) + 55 = 180

⇒ 9x = 108

⇒ x = 12

So, (5x + 20)° =

                      = 80°

So, angle A measures 80°

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.'

source

10000

step-by-step explanation: divide by 2,